evaluate the following.\n(a) $|-7| + 4 =$\n(b) $|-7 + 4| =$

evaluate the following.\n(a) $|-7| + 4 =$\n(b) $|-7 + 4| =$

evaluate the following.\n(a) $|-7| + 4 =$\n(b) $|-7 + 4| =$

Answer

Explanation:

Step1: Calculate absolute value for (a)

The absolute value of (-7) is (|-7| = 7). Then (|-7|+4=7 + 4).

Step2: Perform addition for (a)

(7+4=11).

Step3: Calculate the sum inside the absolute - value for (b)

First, calculate (-7 + 4=-3). Then find the absolute value of (-3), (|-3|).

Step4: Calculate absolute value for (b)

The absolute value of (-3) is (|-3| = 3).

Answer:

(a) (11) (b) (3)