Question

The product of 7 and a number, x, increased by 1 is between 15 and 43. What is the compound inequality that represents the situation?

Answer 1

Let's assume that number as x

The product of 7 and a number =7x

and then increased by 1  

so, it will become

=7x+1

now, it is between 15 and 43

so, we can write as

$15$

now, we can solve for x

Since, we have to isolate x

step-1:

Subtract all the  sides by 1

$15-1$

$14$

step-2:

Divide all the sides by 7

$\frac{14}{7}$

$2$

so, solution is

$2$.............Answer