###### 14

Express the following inequality using interval notation.

\(\displaystyle{-14 \lt 10 - x \leq -9}\)

\(x\) is in

###### 15

Express the following inequality using interval notation.

\(\displaystyle{-17 \lt 4 - x \leq -12}\)

\(x\) is in

###### 16

Express the following inequality using interval notation.

\(\displaystyle{19 \leq x+17 \lt 24}\)

\(x\) is in

###### 17

Express the following inequality using interval notation.

\(\displaystyle{1 \leq x+10 \lt 6}\)

\(x\) is in

###### 18

Solve the following inequality. Write the answer in interval notation.

\(\displaystyle{ 4 \le \frac{5}{9}(F-32) \le 33 }\)

\(F\) is in

###### 19

Solve the following inequality. Write the answer in interval notation.

\(\displaystyle{ 8 \le \frac{5}{9}(F-32) \le 46 }\)

\(F\) is in

###### 20

Solve this inequality:

\(\displaystyle{ {12} \lt \frac{3}{4}x \lt {42} }\)

In set-builder notation, the solution set is .

An example of set-builder notation is \(\{x\mid 10>x>9\}\text{.}\) The *|* symbol is above the keyboardās Enter key.

In interval notation, the solution set is .

An example of interval notation is \((1,2)\text{.}\)

###### 21

Solve this inequality:

\(\displaystyle{ {6} \lt \frac{3}{2}x \lt {21} }\)

In set-builder notation, the solution set is .

An example of set-builder notation is \(\{x\mid 10>x>9\}\text{.}\) The *|* symbol is above the keyboardās Enter key.

In interval notation, the solution set is .

An example of interval notation is \((1,2)\text{.}\)

###### 22

Solve this inequality:

\(\displaystyle{ {9} \gt 1-\frac{4}{7}x \geq {-19} }\)

In set-builder notation, the solution set is .

An example of set-builder notation is \(\{x\mid 10>x>9\}\text{.}\) The *|* symbol is above the keyboardās Enter key.

In interval notation, the solution set is .

An example of interval notation is \((1,2)\text{.}\)

###### 23

Solve this inequality:

\(\displaystyle{ {-5} \gt 1-\frac{2}{5}x \geq {-7} }\)

In set-builder notation, the solution set is .

An example of set-builder notation is \(\{x\mid 10>x>9\}\text{.}\) The *|* symbol is above the keyboardās Enter key.

In interval notation, the solution set is .

An example of interval notation is \((1,2)\text{.}\)

###### 24

Solve the compound inequality using interval notation.

\(\displaystyle{-20x-1>-12 \quad \text{or} \quad 11x-20\geq18}\)

###### 25

Solve the compound inequality using interval notation.

\(\displaystyle{-20x+7\geq-19 \quad \text{or} \quad -6x-7\lt -17}\)

###### 26

Solve the compound inequality using interval notation.

\(\displaystyle{9x-13\geq2 \quad \text{and} \quad 6x-13>-6}\)

###### 27

Solve the compound inequality using interval notation.

\(\displaystyle{20x+9\leq-5 \quad \text{and} \quad -10x-9\geq-14}\)

###### 28

Solve the compound inequality using interval notation.

\(\displaystyle{5x-15\leq-16 \quad \text{and} \quad 10x-5\lt 3}\)

###### 29

Solve the compound inequality using interval notation.

\(\displaystyle{-17x-17>-1 \quad \text{and} \quad 12x+20\lt -14}\)

###### 30

Solve the compound inequality using interval notation.

\(\displaystyle{x+9>-1 \quad \text{and} \quad 14x+4\geq-17}\)

###### 31

Solve the compound inequality using interval notation.

\(\displaystyle{4x-5\leq-9 \quad \text{or} \quad -11x+6\lt 12}\)