Solve left|4right|left|-5right|=-(-1)=1

$$\left| 4 \right| \left| -5 \right| =-(-1)=1$$

Verify

Solution Steps

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 4 is 4.

$$4|-5|=-\left(-1\right)\text{ and }-\left(-1\right)=1$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -5 is 5.

$$4\times 5=-\left(-1\right)\text{ and }-\left(-1\right)=1$$

Multiply 4 and 5 to get 20.

$$20=-\left(-1\right)\text{ and }-\left(-1\right)=1$$

The opposite of -1 is 1.

$$20=1\text{ and }-\left(-1\right)=1$$

Compare 20 and 1.

$$\text{false}\text{ and }-\left(-1\right)=1$$

The opposite of -1 is 1.

$$\text{false}\text{ and }1=1$$

Compare 1 and 1.

$$\text{false}\text{ and }\text{true}$$

The conjunction of \text{false} and \text{true} is \text{false}.

$$\text{false}$$