Which of the following is the solution to the inequality below ? -6/5(4-x)<_-4(X+1/2)

asked Feb 24, 2020 86.0k views

2 votes

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6 votes

Answer:

The answer is the option D

$x\leq 7/13$

Explanation:

we have

$-(6)/(5)(4-x)\leq -4(x+(1)/(2))$

Multiply by
both sides

$6(4-x)\geq 20(x+0.5)\\24-6x\geq20x+10\\24-10\geq 20x+6x\\14\geq 26x$

Rewrite

$26x\leq 14\\x\leq 14/26\\ x\leq 7/13$

Brayne answered Feb 28, 2020

7.4k points

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