solve the inequalities by interpreting tyhe inequalities as a statement about distances on a real line  |x-3|<2|x|

Q: Solve equation or inequality. Use interval notation to express solution sets of inequalities and…

A: On simplification, we get

Q: To solve the nonlinear inequality

A:

Q: Solve the equation or inequality. Use interval notation to express solution sets of inequalities and…

A: Given inequality ,3x+4≥5x-123x+12≥5x-12Add 12 both side3x+12+12≥5x-12+12

Q: Solve the linear inequality. Express the solution using interval notation and graph the solution…

A: Given: 1+4x≤5-2x

Q: Solve  inequality. Use interval notation to express solution sets and graph  solution set on a…

A:

Q: Solve the linear inequality. Express the solution using interval notation. 3x − 5 > 10   Graph the…

A: To Solve:- 3x - 5 &gt; 100

Q: Solve the equation or inequality. Use interval notation to express solution sets of inequalities and…

A:

Q: Solve the equation or inequality. Use interval notation to express solution sets of inequalities and…

A: Given:

Q: Solve equation or inequality 3(x + 4) ≥ 5x - 12. Use interval notation to express solution sets of…

A:

Q: Solve equation or inequality .Use interval notation to express solution sets of inequalities and…

A:

Q: Solve the linear inequality. Express the solution using interval notation and graph the solution…

A: To solve the linear inequality 1 &lt; 5 - 2x

Q: Solve the inequality. Express the solution using interval notation and graph the solution set on the…

A: Consider the provided inequality, x-4&lt;0.02 Solve the inequality and express the solution using…

Q: 3) Solve the rational inequality Write the solution set using interval notation. x+2

A:

Q: Solve the inequalities  1. -40 is equal to and/or greater than 1/4x - 6 2. -7(x - 1/2) > -28

A: Given that: 1. -40≥14x-62. -7(x-12)&gt;-28

Q: Solve  inequality. Use interval notation to express solution sets and graph  solution set on a…

A: Inequality given in the question is: Subtract 3 on all sides of this inequality: Divide all sides…

Q: Solve the equation or inequality. Use interval notation to express solution sets of inequalities and…

A: Given equation is 2x-3-4x+3=8x2-9.

Q: Solve the inequality. Use interval notation to express solution sets and graph the solution set on a…

A: Given inequality is x3-34-1&gt;x2 Solving the given inequality,…

Q: Solve equation or inequality  |3x + 2 | ≥ 3.Use interval notation to express solution sets of…

A: Inequality given in the question is: Apply absolute function rule to solve this inequality which is…

Q: Solve the equation or inequality. Use interval notation to express solution sets of inequalities and…

A: Given: x-3+5=x for solving this first we will do transportation then find domain of x and simplify…

Q: Solve the nonlinear inequality. Express the solution using interval notation. x2 + 4x > 32

A: Factorising the given Plot factors on number line  Check the sign of inequality on the sub intervals

Q: Solve  inequality. Use interval notation to express solution sets and graph  solution set on a…

A: We first solve for |x+2| Note: If we divide by negative number then the inequality sign changes.

Q: Solve the nonlinear inequality. Express the solution using interval notation 3x^2-2x<2x^2+24

A:

Q: Solve the nonlinear inequality. Express the solution using interval notation. (x – 3)(x + 4) 2 0 O…

A: Given inequality is : (x-3)(x+4)≥0   x&lt;-4 x=-4 -4&lt;x&lt;3 x=3 x&gt;3 (x-3) - - - 0 +…

Q: Solve the linear inequality. Express the solution using interval notation and graph the solution…

A: Given linear inequality is 4-3x≤-1+8x. To solve the inequality and express the solution using…

Q: Solve the equation or inequality. Use interval notation to express solution sets of inequalities and…

A: Consider the given inequality, -3≤2x+53&lt;6 multiply by 3 on both sides of the inequality,…

Q: Solve the rational inequality: (x + 1)/(x + 3) &lt; 2and graph the solution set on a real number…

A: we have to find the solution of a rational number x+1x+3&lt;2

Q: Solve the inequality. Express the solution using interval notation and graph the solution set on the…

A: To solve the inequality: |x-5|≤3. Solution:  we know solution set of a modulus  inequality of the…

Q: Solve the rational inequality: (x + 4)/(2x - 1) ≤ 3and graph the solution set on a real number line.…

A: Given rational inequality is x+42x-1≤3 Solution: Solving the given inequality,…

Q: Solve absolute value inequality for x  -4 >/ -2 |3x + 1|    (Ps. The >/ is a greater than or…

A: Given inequality

Q: Solve the equations/inequalițies for inequalities. Write the solutions in interval form, 1 +| = 0 (x…

A:

Q: Solve the equation or inequality. Use interval notation to express solution sets of inequalities and…

A: Given,         x6+18≤x2-34

Q: Solve the rational inequality and graph the solution set on a real number line. Express the solution…

A:

Q: Solve  inequality. Use interval notation to express solution sets and graph  solution set on a…

A:

Q: Solve  inequality. Use interval notation to express solution sets and graph  solution set on a…

A:

Q: Solve the inequalities. Represent your final answer in interval notation. x-43 7-3y<2y+6

A: Explanation of the answer is as follows

Q: Solve the equation or inequality. Use interval notation to express solution sets of inequalities and…

A: Given: 3x-12=75 for finding solution of given equation, we simplify given equation by taking square…

Q: Solve the nonlinear inequality. Express the solution using interval notation. (2x + 1/x-1)

A:

Q: Solve the polynomial inequality and graph the solution set on a real number line. Express the…

A:

Q: Solve the equation or inequality. Use interval notation to express solution sets of inequalities and…

A: We have o solve the equation: 8-2x-x=0 We know for any square root function, fx it must satisfy that…

Q: Solve Inequality Algebraically. Express final answer using interval Notation. |2-(x/3)|+1&lt;7

A: First we subtract 1 from both sides and remove the absolute function.

Q: Solve the equation or inequality. Use interval notation to express solution sets of inequalities and…

A: The given equation is: x(x-2)=4By distributive propertyx2-2x=4 Now the quadratic equation is…

Q: Solve the equation or inequality. Use interval notation to express solution sets of inequalities and…

A: The given equation is 7x-2=4x+1-21. Solve this equation as follows.

Q: Solve the inequality. Express the solution using interval notation and graph the solution set on the…

A: Consider the inequality 2x2≥x+3 to solve this inequality, first bring all the terms to the left side…

Q: Solve  inequality. Use interval notation to express solution sets and graph  solution set on a…

A: Adding 9 on both sides, we get Adding 4x on both sides, we get Dividing by 10 on both sides, we…

Q: Solve the linear inequality. Express the solution using interval notation. -7 < 3x + 7 s Graph the…

A:

Q: Solve the inequality X2 - 4x + 4 great than and equal to 0. Appropriate sign sign chart included.…

A: Here, we need to solve the inequality x2-4x+4≥0. So,           x2-4x+4≥ 0⇒x-22≥ 0  which is true for…

Q: Solve the linear inequality. Express the solution using interval notation. 1/2x -2/3 > 3

A: We can solve the inequality algebraically.

Q: Solve the absolute value inequality. Express the answer using interval notation. 5 − |2x + 9| ≤ 2…

A: We need to find the interval of x for which the following inequality holds good,