1. Write $x<4$ in words. Is 4 included?

Answer: All values below $4$; $4$ is not included.

2. Write $x\geq -2$ in words. Is $-2$ included?

Answer: All values at least $-2$; $-2$ is included.

3. Write “$x$ is greater than 3” as an inequality.

Answer: $x>3$.

4. Write “$x$ is at most 7” as an inequality.

Answer: $x\leq7$.

5. Set-builder notation

Answer: '$\{x\in\mathbb{R}: -1\leq x<5\}$.'

6. On a number line, describe $x>-3$.

Answer: Open circle at $-3$; shade to the right.

7. List the integer values satisfying $-2<x\leq2$.

Answer: $-1,0,1,2$.

8. 'Which includes its boundary: $x<6$ or $x\leq6$?'

Answer: $x\leq6$ includes $6$.

9. Write “at least 2 and less than 8” using inequality symbols.

Answer: $2\leq x<8$.