Question

The sum of 11 and three-fourths of a number is less than 112. What are the possible values of the number? Write an inequality that could be used to solve this problem. Use the letter, "x" as a variable and write the inequality so that the term, "x" term comes first. Where necessary, write numbers as fractions (rather than decimals)

Answer 1

The possible values of the number are any value less than 134.67.

Step-by-step explanation:

To solve the problem, we need to translate the given information into an inequality using the variable x. The sum of 11 and three-fourths of a number is less than 112 can be written as: 11 + (3/4)x < 112. To find the possible values of x, we solve the inequality. Here are the steps:

1. Subtract 11 from both sides of the inequality: (3/4)x < 112 - 11
2. Simplify the right side of the inequality: (3/4)x < 101
3. Multiply both sides of the inequality by 4/3 to isolate x: x < (101 * 4) / 3

The possible values of x that satisfy the inequality are x < 404/3 or x < 134.67. Therefore, the possible values of the number are any value less than 134.67.