Chapter 1.4, Problem 15P

Tell whether the expressions in each pair are equivalent.

7x and $7x\cdot 1$

To determine

Tell whether the expressions in each pair are equivalent.

Answer to Problem 15P

Yes

Explanation of Solution

Given :

7x and $7x\cdot 1$

Calculation:

The two statements are said to be equivalent , if we plug in the value of variable and the result of both the expressions is equal.

Clearly, $7x\cdot 1=7x\mathrm{..........}[\text{1 is the multiplicative identity and }a\cdot 1=a\forall a\in ℝ]$ .

So, the given expressions are equivalent.