Answer:
B
Step-by-step explanation:
So we have the inequality:
[tex]3(-1-x)\leq -2x-3x[/tex]
First, let's combine like terms on the right. Subtract:
[tex]3(-1-x)\leq -5x[/tex]
Now, distribute the 3 on the left:
[tex]-3-3x\leq -5x[/tex]
Isolate the x-variable. Add 5x to both sides. The right side cancels:
[tex]-3+2x\leq 0[/tex]
Add 3 to both sides. The left side cancels:
[tex]2x\leq 3[/tex]
Divide both sides by 2:
[tex]x\leq\frac{3}{2}=x\leq1.5[/tex]
So, our solution is all answers less than or equal to 1.5.
In set notation, this is:
[tex]\{x|x\leq \frac{3}{2}\}[/tex]
Our answer is B :)
