Answer:
[tex]x\leq 1[/tex]
Alternative forms:
[tex]x\in\left(-\infty,\left.\ 1\right]\right.[/tex]
Step-by-step explanation:
[tex]-3(x+1)\geq -6[/tex]
Apply the Distributive Property
[tex]-3x-3\geq -6[/tex]
Rearrange variables to the left side of the equation
[tex]-3x\geq -6+3[/tex]
Calculate the sum or difference
[tex]-3x\geq -3[/tex]
Divide both sides of the inequality by the coefficient of variable
[tex]x\leq \frac{-3}{-3}[/tex]
Determine the sign for multiplication or division
[tex]x\leq \frac{3}{3}[/tex]
Cross out the common factor
[tex]x\leq 1[/tex]
I hope this helps you
:)
