Question

Solve the inequality 2(4+2x)≥5x+5

Answer 1

Answer: 3
`\geq` x

Explanation:

`2(4+2x)\geq 5x+5\\\\Distribute\\\\8+4x\geq 5x+5\\\\Subtract\\\\8\geq x+5\\\\Subtract\\\\3\geq x`

Hope it helps <3

Answer 2

x≤3

Explanation:

2(4+2x)≥5x+5

Distribute.

2*4+2*2x≥5x+5

8+4x≥5x+5

Subtract 8 from both sides.

8-8+4x≥5x+5-8

4x≥5x-3

Subtract 5x from both sides.

4x-5x≥5x-5x-3

-x≥-3

Divide both sides by -1.

Note that when you divide an inequality by a negative number, you must flip the sign.

x≤3