Question

what is the solution to the inequality?
15 < 4 + x
a. x < 11
b. x > 19
c. x > 11
d. x < 19

Explanation:

Step1: Subtract 4 from both sides

To solve the inequality \(15 < 4 + x\), we subtract 4 from both sides of the inequality. This is based on the property of inequalities that allows us to add or subtract the same number from both sides without changing the direction of the inequality.
\[15 - 4<4 + x- 4\]

Step2: Simplify both sides

Simplifying the left - hand side \(15 - 4 = 11\) and the right - hand side \(4 + x-4=x\). So we get \(11 < x\), which is equivalent to \(x>11\).

Answer:

C. \(x > 11\)