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QUESTION IMAGE

question solve the inequality and graph the solution on the line provid…

Question

question
solve the inequality and graph the solution on the line provided.
$-7 + 6x > -25$
answer
inequality notation:
number line:

Explanation:

Step1: Add 7 to both sides

$-7 + 6x + 7 > -25 + 7$
$6x > -18$

Step2: Divide by 6 on both sides

$\frac{6x}{6} > \frac{-18}{6}$
$x > -3$

Answer:

Inequality Notation:

$x > -3$

Number Line:

To graph this:

  1. Draw an open circle at $x=-3$ (since the inequality is strict, not inclusive of -3).
  2. Draw an arrow pointing to the right from the open circle, representing all values greater than -3.