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blagie [28]
2 years ago
11

What is the solution set for this inequality? 5x − 4 < 11 + 8x

Mathematics
2 answers:
Kryger [21]2 years ago
5 0

\large\displaystyle\text{$\begin{gathered}\sf 5x-4 < 11+8x \end{gathered}$}

Simplify both sides of the inequality.

\large\displaystyle\text{$\begin{gathered}\sf 5x-4 < 8x+11 \end{gathered}$}

Subtract 8x from both sides.

\large\displaystyle\text{$\begin{gathered}\sf 5x-4-8x < 8x+11-8x \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf -3x-4 < 11 \end{gathered}$}

Add 4 to both sides.

\large\displaystyle\text{$\begin{gathered}\sf -3x-4+4 < 11+4 \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf -3x < 15 \end{gathered}$}

Divide both sides by -3.

\large\displaystyle\text{$\begin{gathered}\sf \frac{-3x}{-3} < \frac{15}{-3}   \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf x > -5 \ \ \iff \ \ \ Answer \end{gathered}$}

<h2>{ Pisces04 }</h2>
RoseWind [281]2 years ago
3 0

Answer: x>-5

Step-by-step explanation:

add 4 to both sides

5x-4+4<11+8x+4

simplify

5x<8x+15

subtract 8x from both sides

5x-8x<8x+15

simplify

-3x<15

divide both sides by -3 and switch inequality sign

-3x/-3>-15/-3

x>-5

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