Please help, got part way through it. Looking for x on one side number on the other.

x ≥ 0                   or          x ≤ -3

Step-by-step explanation:

- | 3+2x| +1 ≤ -2

Subtract 1 from each side

- | 3+2x| +1-1 ≤ -2-1

- | 3+2x|  ≤ -3

Divide each side by -1, remembering to flip the inequality

- | 3+2x| / -3 ≥ -3/-1

| 3+2x| ≥ 3

When we have absolute values, we get 2 solutions, one positive and one negative ( remember to flip  the inequality when taking the negative)

3+2x ≥ 3     or       3+2x ≤ -3

Subtract 3 from each side

3-3+2x ≥ 3-3  or          3-3+2x ≤ -3-3

2x ≥ 0                or             2x ≤ -6

Divide each side by 2

2x/2 ≥ 0/2          or           2x/2 ≤ -6/2

x ≥ 0                   or          x ≤ -3

b

step-by-step explanation:

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !