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# Solve the equations and inequalities below, if possible. a. sqrt{x−1}+13=13 b. 6|x|>18 c. |3x-2|<=2 d. frac{4}{5}-frac{2x}{3}=frac{3}{10} e. (4x-2)^{2}<=100 f. (x-1)^{3}=8

Question
Equations and inequalities
asked 2020-11-22
Solve the equations and inequalities below, if possible. $$\displaystyle{a}.\sqrt{{{x}−{1}}}+{13}={13}$$
$$\displaystyle{b}.{6}{\left|{x}\right|}{>}{18}$$
$$\displaystyle{c}.{\left|{3}{x}-{2}\right|}\le{2}$$
$$\displaystyle{d}.{\frac{{{4}}}{{{5}}}}-{\frac{{{2}{x}}}{{{3}}}}={\frac{{{3}}}{{{10}}}}$$
$$\displaystyle{e}.{\left({4}{x}-{2}\right)}^{{{2}}}\le{100}$$
$$\displaystyle{f}.{\left({x}-{1}\right)}^{{{3}}}={8}$$

## Answers (1)

2020-11-23
$$\displaystyle{a}.{x}={1}$$
$$\displaystyle{b}.{x}{<}-{3}{\quad\text{or}\quad}{x}{>}{3}$$
$$\displaystyle{c}{.0}\leq{x}\leq{\frac{{{4}}}{{{3}}}}$$
$$\displaystyle{d}.{x}={1.5}$$
$$\displaystyle{e}.-{2}\leq{x}\leq{3}$$
$$\displaystyle{f}.{x}={3}$$

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