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QUESTION IMAGE

solve the inequality. graph the solution. 7w > -49 the solution is

Question

solve the inequality. graph the solution.
7w > -49
the solution is

Explanation:

Step1: Isolate the variable w

Divide both sides of $7w > - 49$ by 7.
$w>\frac{-49}{7}$

Step2: Simplify the right - hand side

$\frac{-49}{7}=-7$, so $w > - 7$.

Answer:

$w > - 7$
To graph the solution: On the number line, we use an open circle at - 7 (because the inequality is strict, i.e., $w$ is greater than but not equal to - 7) and draw an arrow to the right to represent all the values of $w$ that satisfy the inequality.