Solve |2|-|7-9|=|2-7-9|

$$| 2 | - | 7 - 9 | = | 2 - 7 - 9 |$$

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 2 is 2.

$$2-|7-9|=|2-7-9|$$

Subtract 9 from 7 to get -2.

$$2-|-2|=|2-7-9|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -2 is 2.

$$2-2=|2-7-9|$$

Subtract 2 from 2 to get 0.

$$0=|2-7-9|$$

Subtract 7 from 2 to get -5.

$$0=|-5-9|$$

Subtract 9 from -5 to get -14.

$$0=|-14|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -14 is 14.

$$0=14$$

Compare 0 and 14.

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