QUESTION IMAGE
Question
question
solve the inequality and graph the solution on the line provided.
$-7 + 6x > -25$
answer
inequality notation:
number line:
Step1: Add 7 to both sides
$-7 + 6x + 7 > -25 + 7$
$6x > -18$
Step2: Divide by 6 on both sides
$\frac{6x}{6} > \frac{-18}{6}$
$x > -3$
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Inequality Notation:
$x > -3$
Number Line:
To graph this:
- Draw an open circle at $x=-3$ (since the inequality is strict, not inclusive of -3).
- Draw an arrow pointing to the right from the open circle, representing all values greater than -3.