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Aloiza [94]
3 years ago
11

Solve the inequality. 2(4+2x)≥5x+5 A. x≤−2 B. x≥−2 C. x≤3 D. x≥3

Mathematics
2 answers:
LenaWriter [7]3 years ago
8 0

\text{Solve for x:}\\\\2(4+2x)\geq5x+5\\\\\text{Use the distributive property}\\\\8+4x\geq5x+5\\\\\text{Subtract 5x from both sides}\\\\8-x\geq5\\\\\text{Subtract 8 from both sides}\\\\-x\geq-3\\\\\text{Divide both sides by -1, while also flipping the inequality}\\\\x\leq3\\\\\boxed{\text{Answer: C.} \,x\leq3}

Neko [114]3 years ago
8 0

Answer:

C. x\leq 3

Step-by-step explanation:

2(4+2x)\geq 5x+5

First expand the left hand side.

8+4x\geq 5x+5

Minus 4x and minus 5 on both sides.

8+4x-5-4x\geq 5x+5-5-4x

Simplifying it, you'll get

8-5\geq 5x-4x

Simplify it once again,

3\geq x which is also x\leq 3

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