Question

solve |x+3| +7 (is less than or equal to) 10

Answer 1

First solve it for the absolute value part:
\[\implies |x+3| \le 10-7\]\[\implies |x+3| \le 3\]
Then recall that:
\[|a| \le b \implies \cases{ \begin{array}{ccc}-b \le a \le b & \text{if} & b > 0\\ a = 0 & \text{if} & b = 0\\ \text{No solutions} & \text{if} & b < 0\end{array}}\]

Answer 2

Since 3 is greater than 0..
\[\implies -3 \le x + 3 \le 3\]\[\implies -6 \le x \le 0\]

Answer 3

Describe the graph of the solution in a complete sentence