Question

What are all possible values of x that make a true statement? 95 – 2x < 7 (15x – 17)

Answer 1

Answer:

x = 2

Step-by-step explanation:

From the question we are given the algebraic sign with the Inequality sign

95 - 2x < 7 (15x - 17)

In order to find all the possible values of x that makes the algebraic expression true ,

We solve for this by convert the less than(<) sign to =

A true statement or algebraic expression is when both values on the left hand side and right hand side of and algebraic expression is the same of equal to each other.

Therefore:

95 - 2x = 7 (15x - 17)

95 - 2x = 105x - 119

Collect like terms

95 + 119 = 105x + 2x

214 = 107x

x = 214/107

x = 2

In other to confirm if x = 2 makes the expression true

95 - 2x = 7 (15x - 17)

95 - 2x = 105x - 119

95 - 2 × 2 = 105 × 2 - 119

95 - 4 = 210 - 119

91 = 91

Therefore, the possible values for x that make the statement true is x = 2