Question

Solve the following inequalities and represent the solution on the number line.

d) 5x ≥ 15
e) 3(2x + 1) ≤ 15

Answer 1

d) 5x ≥ 15

Let's solve your inequality step-by-step.

5x≥15

Step 1: Divide both sides by 5.

`(5x)/(5) \geq (15)/(5)`

`x\geq 3`

(Attachment #1)

e) 3(2x + 1) ≤ 15

Let's solve your inequality step-by-step.

3(2x+1)≤15

Step 1: Simplify both sides of the inequality.

6x+3≤15

Step 2: Subtract 3 from both sides.

6x+3−3≤15−3

6x≤12

Step 3: Divide both sides by 6.

`(6x)/(6) \leq (12)/(6)`

`x\leq 2`

(Attachment #2)