The addition property of inequality states that if a < b, then a + c.

Q: It is possible to find a point that lies on both sides of a linear inequality. True False

A: Given, It is possible to find a point that lies on both sides of a linear inequality We have to find…

Q: A closed inequality is graphed with a dotted line. O True O False

A: Given that a closed inequality is graphed with a dotted line.We have to find the truth.

Q: Find the solution set for the inequality x² + x – 6 > 0 -

A: We need to solve the inequality,

Q: An inequality that can be written in the form Ax + By&lt; C (where A and B are not both zero) is…

A: By definition,Linear inequalities in two variables are of the form

Q: Find the solution in interval notation to the linear inequality: 8<2- 4x < 14.

A:

Q: Find the set of solutions to the inequality (x 2 - 4)(x 2 - 1) &lt; 0 by plotting a graph.

A:

Q: (x+1)(x²-5x+6) x*+ズー6

A: Given : The given inequality is x+1x2-5x+6x2+x-6≤0. To find :  the solution set for the given…

Q: Express the interval as an inequality in the variable x.

A: Explanation: Given an interval (3,7)

Q: Solve the given inequality. 7x-25 25 5,

A:

Q: The inequality, x ≤ 4, written in interval notation is : 1. (-∞,4) 2. [-∞,4) 3. (-∞,4] 4. [-∞0,4] O…

A: Inequality: A mathematical expression in which both sides are not equal is called an inequality. We…

Q: Give a non-trivial example of linear inequality in 1 variable that has the solution set (-2,5].

A: To find such a non trivial inequality using as variable x we can see that for required inequality…

Q: /hich of these situations can be modeled by the inequality z < 250 ?

A:

Q: Show that the inequality (x - 2) 2 &gt; 0 has one real number that is not a solution.

A: x-22&gt;0

Q: If |2| = 2, use the triangle inequality to show that |Im(1 – z+ 22)| <7 and 2 – 4z² + 3| 2 3.

A: the given question is related to complex numbers. the solution is explained below.

Q: The set of all points that satisfy a linear inequality in two variables is called the________ of the…

A: we have to fill in the blank. The set of all points that satisfy a linear inequality in two…

Q: Determine the solution of the linear inequality below. 7- 5x 2 11- 3x A [-2, 00 ) B (- 0, - 2] (-…

A:

Q: Solve for the solution set of the given inequality: 4x-(3+2x) >2x+3(x+2) A (-∞0,3) B (-3,00) C…

A:

Q: hureka Washburn has scores of 71​, 81​, 84​, and 54 on her algebra tests.   a. Use an inequality to…

A: Given, Shureka Washburn has scores 71, 81, 84, 54

Q: Identify each value of z that makes the below inequality true. – (3x +1) > -7+3x - -1 20 1 0. -32

A:

Q: 41. Explain why the inequality x + x +1> 0 has all real numbers as the solution set.

A: The standard form of a quadratic function is given by the equation ax2+bx+c. The roots of the…

Q: In order for a park to open, there have to be more than 2536 tickets sold in advance. Write an…

A: As given, for park to be open, there must be more than 2536 tickets to be sold. Or, atleast 2537…

Q: Give an inequality whose solutions are the ordered pairs (x,y) that add up to at most 5. Then graph…

A: Given:- Give an inequality whose solutions are the ordered pairs (x,y) that add up to at most 5.…

Q: The linear inequality -3x – 4 > 5 can be solved by first to both sides and then both sides by. which…

A: Given: -3x - 4 &gt; 5

Q: unit of house A requires 160 man hours and a unit of house J requires 256 man hours. Write an…

A: Time required for both unit of house A and J are given. We will construct an inequality according to…

Q: Show that x = 2 is not a solution to the inequality 1:25 x + 2 > 7x Use the paperclip button below…

A: Solving the inequality

Q: Solve the following inequality. -2x (x + 4) (x – 6) (x + 1) < 0

A:

Q: A unit of house A requires 160 man hours and a unit of house J requires 256 man hours. Write an…

A: To find the inequality :

Q: The set of all solutions of the inequality 2|2x + 2] > 12 is

A: Given inequality  22x+2≥12 the above equation can be written as  2(2x+2)≥12 and 2(2x+2)≤-12…

Q: 39. Show that the inequality (x – 4)? s0 has exactly solution.

A: We have to show that the inequality x-42≤0 has exactly one solution.

Q: transform each inequality into an equivalent inequality with y as one side y-5x>=3

A: Given- y-5x≥3 It is required to transform each inequality into an equivalent inequality with y as…

Q: Will the solution be a compound inequality using and or The solution will be a compound inequality…

A:

Q: Show that the inequality (x - 4) 2 &lt;= 0 has exactly one solution.

A: Function is the unique relation where each x is mapped to unique y. It can be of many types:…

Q: what is true for this inequality.

A:

Q: Find the solution set for the following inequality, using interval notation: ∣x−2∣  ≤  5

A: |x-2|≤5squaring both sides(|x-2|)2≤52 (x-2)2-52≤0[(x-2)-5][(x-2)+5]≤0         {…

Q: The set of all points that satisfy a linear inequality in two variables is called the of the…

A: The set of all points that satisfy a linear inequality in two variables is called the solution set…

Q: Solve the given inequality by preparing a sign chart. x^3-x≥2x^2-2

A: x3-x≥ 2x2-2Subtract 2x2-2 from both…

Q: A school has x balls and y bats.The total number of bats and ball is no more than 30: Write…

A: A school has x balls and y bats. And the total number of bats and ball is no more than 30. We have…

Q: Select all the points that are solutions to the inequality -x- 2y > 3. (0.-1.5) (2. -4) (-2, -1)…

A: Given inequality is -x-2y&gt;3 To check the given points in the inequality  (0,-1.5)…

Q: raph the solution set of the following linear Inequality. -7y + 7x 2 -7y + 42

A: -7y+7x≥-7y+42 7y-7y+7x≥7y-7y+42                7x≥42                  x≥6 Type of boundary line…

Q: inequality, where x is a real number on the number b.) -2(x-3) < 4x + 6 |

A:

Q: Express the inequality in interval notation. (a) -1 <xs 5 (b) x< 3 (c) x 2 4

A: we have to express the given inequalities in interval notation: (a)-1&lt;x≤5 (b) x&lt;3 (c) x≥4

Q: In solving the inequality х — 2 > 3, what is wrong with em- ploying x – 1 > 3(x – 2) as a first…

A: The sign of an inequality changes when it is multiplied by negative sign. This is the prime reason…

Q: Exercise 3:a Express an inequality statement that relates mz1 and m2. В 6 D A, 18 12, 18

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Q: Sysx-2 l 5x + 10 y > -

A:

Q: Show the solution to this inequality with a number line. -(x – 1)(2x + 7)(x+2) < 0

A: Given  -x-12x+7x+2≤0 Multiplying by -1 on both sides, the inequality sign gets reversed.…

Q: Inequality - 2(1– y) + 5 < 3(2y – 1) B. , 0) A. (-∞, C. (-0, – D. [-, c0) А.

A: given the appropriate solution set for the inequality 2(1-y)+5≤3(2y-1)

Q: the soultion to this inequality on the number line.-4x+7>-13

A: