Question

(4x+7)/3 less than or equal to 2x+5

Answer 1

So firstly, multiply both sides by 3:
`4x+7\leq 6x+15`

Next, subtract both sides by 4x:
`7\leq 2x+15`

Next, subtract both sides by 15:
`-8\leq 2x`

Lastly, divide both sides by 2 and your inequality is
`-4\leq x\ \textsf{or}\ x\geq -4` .

If you were to graph this line, this line would be a solid line with the shading to the right of the line.

Answer 2

*the symbols should have a line under them. I dont know how to do that on a laptop

Given:

(4x+7)/3<2x+5

Multiply everything by 3 to get rid of the bottom number:

4x+7<6x+15

Combine the X terms:

7<2x+15

Combine the numerical terms:

-8<2x

Divide both sides by 2:

-4<x

Your answer: -4<x