Solve for x:x/6 + 3 ≥ −2

Question

asked Nov 3, 2023 106k views

1 Answer

Sgwill · Answer 1 · 2023-11-08T21:04:59+0000

$x\ge-30$

Step-by-step explanation

$(x)/(6)+3\ge-2$

Step 1

subtract 3 in both sides.

$\begin{gathered} (x)/(6)+3\ge-2 \\ (x)/(6)+3-3\ge-2-3 \\ (x)/(6)\ge-5 \end{gathered}$

Step 2

Multiply both sides by 6

$\begin{gathered} (x)/(6)\ge-5 \\ (x)/(6)\cdot6\ge-5\cdot6 \\ x\cdot(6)/(6)\ge-30 \\ x\cdot1\ge-30 \\ x\ge-30 \end{gathered}$

so, the answer is

$x\ge-30$

I hope this helps you