Question

(81/5)x−1x≤55

A) x≤10
B) x≤12
C) x≤11
D) x≤13.

Answer 1

To solve the inequality (81/5)x-1x≤55, divide both sides of the inequality by (81/5), simplify, and solve for x.

Step-by-step explanation:

To solve the inequality (81/5)x-1x≤55, we need to isolate x. Here are the steps:

1. Divide both sides of the inequality by (81/5) to get x-1 ≤ 55 / (81/5).
2. Simplify the expression on the right side: 55 / (81/5) = 55 * (5/81) = 275/81.
3. Add 1 to both sides of the inequality to get x ≤ 275/81 + 1.
4. Simplify the expression on the right side: 275/81 + 1 = 275/81 + 81/81 = 356/81.

Therefore, the solution to the inequality is x ≤ 356/81. To find a decimal approximation, divide 356 by 81 to get approximately 4.3951. Rounded to the nearest whole number, the solution is x ≤ 4.