Question

Express the statement using an inequality involving absolute value. Do not solve. The hitter's batting average stayed within 0.150 of 0.260 during the month of July.

Option 1: |x - 0.260| ≤ 0.150
Option 2: |0.260 - x| ≥ 0.150
Option 3: |x - 0.150| ≤ 0.260
Option 4: |0.150 - x| ≥ 0.260

Answer 1

The correct option is Option 1: |x - 0.260| ≤ 0.150. This inequality represents that the hitter's batting average, represented by x, is within a distance of 0.150 from 0.260.

Step-by-step explanation:

The correct option is Option 1: |x - 0.260| ≤ 0.150.

This inequality represents that the hitter's batting average, represented by x, is within a distance of 0.150 from 0.260. The absolute value symbol ensures that the difference between x and 0.260 is positive or zero.

For example, if the value of x is 0.230, then |0.230 - 0.260| = |-0.030| = 0.030, which is less than or equal to 0.150.