Question

Solve the linear inequality. Express the solution using interval notation and graph the solution set.

2x+1<02 x+1<0

Solution

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Answered 2 years ago
Answered 2 years ago
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The task is to solve the given linear inequality. That is, by isolating xx, we have

2x+11<012x<12x2<12x<12.\begin{aligned} 2x+1 \textcolor{#4257b2}{-1} &<0 \textcolor{#4257b2}{-1} \\ 2x &<-1 \\ \dfrac{2x}{\textcolor{#4257b2}{2}} &< \dfrac{-1}{2} \\ x &< -\dfrac{1}{2}. \end{aligned}

Therefore, the solution set is the interval (,12)(-\infin, -\frac{1}{2}).

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