Question

Which graph represents the solution set of the inequality -3x [phone]-1 0 1 2 3 4 4-3-2-1 0 1 2 3 4 -4 -3 -2 -1 0 0 1 2 3

Answer 1

The inequality is:

$-3x+1\le10$

We can rearrange it like:

$\begin{gathered} -3x+1\le10 \\ -3x\le10-1 \\ -3x\le9 \\ x\ge\frac{9}{-3} \\ x\ge-3 \end{gathered}$

Answer: Second graph from the top, the one that start from -3 and include larger numbers.