Question

Solve each of the following equations. Show the solution set on a number line. |2.5–y|=3

a) y = -0.5 or y = 5.5
b) y = 2.5 or y = 5.5
c) y = -5.5 or y = 2.5
d) y = -5.5 or y = 5.5

Answer 1

To solve |2.5-y|=3, we solve two cases: y-2.5=3 and -(y-2.5)=3. The solution set is a) y = -0.5 or y = 5.5.

Step-by-step explanation:

To solve the equation |2.5–y|=3, we need to first identify the possible values of y.

To do this, we'll solve two cases: y-2.5=3 and -(y-2.5)=3. Solving the first case, we get y=5.5.

Solving the second case, we get y=-0.5.

Therefore, the solution set is y = -0.5 or y = 5.5.

We can represent this solution set on a number line as shown below: