Question

Pls help ?????? Thank u all

Answer 1

The graph in the attached figure ( is the third option)

Explanation:

we have the compound inequality

`-18> -5x+2\geq -48`

Divide the compound inequality in two inequalities

`-18> -5x+2` -----> inequality A

`-5x+2\geq -48` -----> inequality B

Step 1

Solve inequality A

`-18> -5x+2`

`-18-2> -5x`

`-20> -5x`

Multiply by -1 both sides

`20<5x`

`4<x`

Rewrite

`x > 4`

The solution of the inequality A is the interval ------>(4,∞)

Step 2

Solve the inequality B

`-5x+2\geq -48`

`-5x\geq -48-2`

`-5x\geq -50`

Multiply by -1 both sides

`5x\leq 50`

`x\leq 10`

The solution of the inequality B is the interval -----> (-∞,10]

therefore

The solution of the compound inequality is

(4,∞) ∩ (-∞,10]=(4,10]

All real numbers greater than 4 (open circle) an less than or equal to 10 (close circle)

The solution in the attached figure