Solve 3-|4*2-9|*|5+1|

$$3 - | 4 \times 2 - 9 | \times | 5 + 1 |$$

Evaluate

$$-3$$

Solution Steps

Multiply 4 and 2 to get 8.

$$3-|8-9||5+1|$$

Subtract 9 from 8 to get -1.

$$3-|-1||5+1|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -1 is 1.

$$3-1|5+1|$$

Add 5 and 1 to get 6.

$$3-1|6|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 6 is 6.

$$3-1\times 6$$

Multiply 1 and 6 to get 6.

$$3-6$$

Subtract 6 from 3 to get -3.

$$-3$$

Factor

$$-3$$