evaluate |a+b|-c if a=2, b=-3 and c=-4

Given

a = 2

b = -3

and

c = -4

, we substitute

| a + b | - c

→

| 2 - 3 | + 4

Let's calculate:

| 2 - 3 | + 4

ⓘ Start from

2

and move back

3

on the number line, going below zero:

2 - 3

-1

| -1 | + 4

ⓘ The expression inside the absolute value is nonpositive; therefore, its absolute value equals its opposite:

| -1 |

1

1 + 4

ⓘ Start from

1

and move forward

4

on the number line:

1 + 4

5

▶Result:

5