Question

3 more than the product of 7 and a number x is less than 26 Find the solution set for x. Write the solution using a fraction or integer.



PLEASE HELP WILL AWARD BRAINIEST

Answer 1

Answer: The solution set is $x\:<\:3\frac{2}{7}$

Step-by-step explanation:

The product of 7 and x is $7x$.

3 more than the product of 7 and x is $7x+3$.

We were given that, the expression is less than 26.

This implies that,

$7x+3\:<\:26$.

We group like terms to obtain,

$7x\:<\:26-3$

$7x\:<\:23$ we now divide through by 7 to obtain,

$x\:<\:\frac{23}{7}$

We finally write this as a mixed number to obtain,

$x\:<\:3\frac{2}{7}$