Blaine solved an inequality draw the number line. Identify which represent the number line.
Answer to Problem 61PFA
Explanation of Solution
Given information:
4 Options of inequality:
The number line:
Concept used:
An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value. a ≠ b says that a is not equal to b. a < b says that a is less than b. a > b says that a is greater than b.
There are four different types of inequalities:
Greater than −
For Inequality equation: If
Rules for solving inequality equations:
These things do not affect the direction of the inequality:
- Add (or subtract) a number from both sides
- Multiply (or divide) both sides by a positive number
- Simplify a side
But these things do change the direction of the inequality ("
- Multiply (or divide) both sides by a negative number
- Swapping left and right hand sides
If there is a parenthesis
If there is a bracket
Calculation:
Solve for each options:
Options | Steps | Explanation |
A | Distribute to open the parenthesis. Added 15 to both sides. Divide each side by 5 Option A is correct. | |
B | Distribute to open the parenthesis. Subtracted 15 to both sides. Divide each side by 5 | |
C | Distribute to open the parenthesis. Added 15 to both sides. Divide each side by 5 | |
D | Distribute to open the parenthesis. Subtracted 15 to both sides. Divide each side by 5 |
The number line shows the solution
An open circle is used for greater than (>) or less than (<). The point is not part of the solution. The graph then extends endlessly in one direction.
Thus, Blaine solved the inequality
Chapter 5 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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