Solve the inequality and graph the solution.

w/3 – 15 < –16

1 answer

To solve the inequality, we will isolate the variable w.
First, add 15 to both sides of the inequality:
w/3 - 15 + 15 < -16 + 15
w/3 < -1

Next, multiply both sides of the inequality by 3 to get rid of the fraction:
3 * (w/3) < -1 * 3
w < -3

The solution to the inequality is w < -3.

To graph the solution, we will draw a number line and mark the point -3 with an open circle to indicate that it is not included in the solution. Then, we will shade the region to the left of -3 to represent the values of w that satisfy the inequality.
Number line:
--------------o--------------------------------

Region shaded:
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