Solve the inequality 9.5x−1.25<32.

1 answer

To solve the inequality, we will isolate the variable x.

Starting with 9.5x - 1.25 < 32, we can first distribute the 9.5 to each term inside the parentheses:

9.5x - 1.25 < 32
9.5x - 1.25 + 1.25 < 32 + 1.25
9.5x < 33.25

Next, we can divide both sides of the inequality by 9.5 to solve for x:

(9.5x) / 9.5 < 33.25 / 9.5
x < 3.5

The solution to the inequality is x < 3.5.