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# Solve the equations and inequalities below. Check your solution(s), if possible. a.300x-1500=2400 b.(3/2)^{x}=(5/6)^{x}+2 c.x^{2}-25leq 0 d.|3x-2|>4

Question
Equations and inequalities
asked 2021-02-05
Solve the equations and inequalities below. Check your solution(s), if possible. $$\displaystyle{a}{.300}{x}-{1500}={2400}$$
$$\displaystyle{b}.{\left(\frac{{3}}{{2}}\right)}^{{{x}}}={\left(\frac{{5}}{{6}}\right)}^{{{x}}}+{2}$$
$$\displaystyle{c}.{x}^{{{2}}}-{25}\leq{0}$$
$$\displaystyle{d}.{\left|{3}{x}-{2}\right|}{>}{4}$$

## Answers (1)

2021-02-06
$$\displaystyle{a}.{x}={13}$$
$$\displaystyle{b}.{x}={3}$$
$$\displaystyle{c}.-{5}\leq{x}\leq{5}$$
$$\displaystyle{d}.{x}{<}-{\frac{{{2}}}{{{3}}}}{\quad\text{or}\quad}{x}{>}{2}$$

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