Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x

asked Dec 26, 2018 223k views

4 votes

Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?

by Wayne

6.4k points

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1 vote

The answer is c. Good luck!

Alex Joseph answered Dec 27, 2018

7.3k points

5 votes

we have

$2x- 6 \geq 6(x- 2) + 8 \\ 2x-6\geq 6x-12+8\\ 2x-6x\geq -12+8+6\\ -4x\geq 2\\ -x\geq 0.5\\ x\leq -0.5$

the solution is the interval------> (-∞,-0.5]

see the attached figure

therefore

the answer is

the option C

Gareth Farrington answered Dec 30, 2018

7.6k points

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