How do you solve $2 x - 3 (1 - 2 x) < 31$ $2x-3(1-2x)<31$ ?

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How do you solve $2 x - 3 (1 - 2 x) < 31$ $2x-3(1-2x)<31$ ?

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Answer 1 · 2018-05-19T10:24:35

$x < \frac{17}{4}$ $x<17/4$

Explanation:

$distribute and simplify left side of inequality$ $"distribute and simplify left side of inequality"$

$2 x - 3 + 6 x < 31$ $2x-3+6x<31$

$\Rightarrow 8 x - 3 < 31$ $rArr8x-3<31$

$add 3 to both sides$ $"add 3 to both sides"$

$\Rightarrow 8 x < 34$ $rArr8x<34$

$divide both sides by 8$ $"divide both sides by 8"$

$\Rightarrow x < \frac{34}{8} \Rightarrow x < \frac{17}{4} is the solution$ $rArrx<34/8rArrx<17/4" is the solution"$

$x \in (- \infty, \frac{7}{4}) \leftarrow in interval notation$ $x in(-oo,7/4)larrcolor(blue)"in interval notation"$

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How do you solve $2 x - 3 (1 - 2 x) < 31$ $2x-3(1-2x)<31$ ?

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How do you solve 2x−3(1−2x)<312x-3(1-2x)<31?

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How do you solve $2 x - 3 (1 - 2 x) < 31$ $2x-3(1-2x)<31$ ?