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Solve the inequality and graph the solution on the number line. 5x – 19 <= -4

Sagot :

Answer:

The solution to the inequality is:

[tex]x\le5[/tex]

Explanation:

Given the inequality:

[tex]5x-19\le-4[/tex]

Add 19 to both sides of the inequality

[tex]\begin{gathered} 5x-19+19\le-4+19 \\ \\ 5x\le15 \end{gathered}[/tex]

Divide both sides by 5

[tex]\begin{gathered} \frac{5x}{5}\le\frac{15}{5} \\ \\ x\le5 \end{gathered}[/tex]

The graph of the inequality is shown below:

View image MarajadeW641286