Question

Twelve less than 5 times a number is greater than or equal to 6 more than twice the number. Each inequality and number line represents the solution for the given situation

Answer 1

Answer: x ≥ 6

Explanation:

12 less than 5 times a number ≥ 6 more than twice the number

5x - 12 ≥ 2x + 6

Note: the word "than" switches the order of the terms.

5x - 12 ≥ 2x + 6

-2x +12 -2x +12

3x ≥ 18

÷3 ÷3

x ≥ 6

Graph: 6 -----------→ the dot is closed (filled in) since it is "equal to"