Answer:
[tex]\bold{x}[/tex] ≥ [tex]\bold{-6}[/tex]
Solution Steps:
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1.) Add 7 to both sides:
- [tex]-7+7=[/tex] Cancels Out
- We have to get rid of both numbers on each side, so to do so, we do the opposite of what we see: Since we have a negative 7, we add 7 on each side.
Equation at the end of Step 1:
- [tex]-3x[/tex] ≤ [tex]18[/tex]
2.) Divide both sides by -3:
- [tex]-3[/tex] ÷ [tex]-3=[/tex] Cancels Out
- [tex]18[/tex] ÷ [tex]-3=-6[/tex]
- We have to get rid of numbers on each side, so do to so, we do the opposite of what we see. Since we have a negative 3 being multiplied, we divide by -3 instead.
- Since -3 is negative, the inequality direction is changed as well.
Equation at the end of Step 2:
- [tex]x[/tex] ≥ [tex]-6[/tex]
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