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21

Solve the compound inequality algebraically.

\(\displaystyle{-14 \lt 7 - x \leq -9}\)

\(x\) is in

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22

Solve the compound inequality algebraically.

\(\displaystyle{-16 \lt 20 - x \leq -11}\)

\(x\) is in

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23

Solve the compound inequality algebraically.

\(\displaystyle{19 \leq x+13 \lt 24}\)

\(x\) is in

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24

Solve the compound inequality algebraically.

\(\displaystyle{1 \leq x+7 \lt 6}\)

\(x\) is in

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25

Solve the compound inequality algebraically.

\(\displaystyle{ 4 \le \frac{5}{9}(F-32) \le 50 }\)

\(F\) is in

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26

Solve the compound inequality algebraically.

\(\displaystyle{ 8 \le \frac{5}{9}(F-32) \le 43 }\)

\(F\) is in

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27

Solve the compound inequality algebraically.

\(\displaystyle{-10x-11\leq-20 \quad \text{and} \quad -2x-18\lt -10}\)

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28

Solve the compound inequality algebraically.

\(\displaystyle{17x+6\leq9 \quad \text{and} \quad 18x-14\leq7}\)

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29

Solve the compound inequality algebraically.

\(\displaystyle{-9x-8\leq-5 \quad \text{or} \quad -4x-15\geq-13}\)

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30

Solve the compound inequality algebraically.

\(\displaystyle{-12x-13\geq-11 \quad \text{or} \quad -7x-1\lt -17}\)

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31

Solve the compound inequality algebraically.

\(\displaystyle{13x+13\leq-13 \quad \text{or} \quad -5x+11\leq-4}\)

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32

Solve the compound inequality algebraically.

\(\displaystyle{-9x+13\lt 2 \quad \text{or} \quad 16x-2\lt -1}\)

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33

Solve the compound inequality algebraically.

\(\displaystyle{-13x+10\lt -7 \quad \text{and} \quad -3x+4\lt 8}\)

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34

Solve the compound inequality algebraically.

\(\displaystyle{13x-14\lt -18 \quad \text{and} \quad 18x+8\leq-16}\)

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35

Solve the compound inequality algebraically.

\(\displaystyle{ {6} \lt \frac{2}{5}x \lt {20} }\)

In set-builder notation, the solution set is .

In interval notation, the solution set is .

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36

Solve the compound inequality algebraically.

\(\displaystyle{ {15} \lt \frac{3}{2}x \lt {54} }\)

In set-builder notation, the solution set is .

In interval notation, the solution set is .

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37

Solve the compound inequality algebraically.

\(\displaystyle{ {5} \gt -1-\frac{3}{7}x \geq {-10} }\)

In set-builder notation, the solution set is .

In interval notation, the solution set is .

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38

Solve the compound inequality algebraically.

\(\displaystyle{ {20} \gt 4-\frac{4}{5}x \geq {-8} }\)

In set-builder notation, the solution set is .

In interval notation, the solution set is .