Question

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

$2 x+1<0$

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 3The task is to solve the given linear inequality. That is, by isolating $x$, we have

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

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

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