Question

Is $x=60$ a solution of the inequality $\frac{x}{4}-5>11?$

• A. yes
• B. no
• C. cannot be determined

Answer 1

The correct option is B no

Given, $\frac{x}{4}-5>10$

Step 1: Add 5 to both sides of the inequality in order to remove the 5 on the left hand side.
$\Rightarrow \frac{x}{4}-5+5>10+5\Rightarrow \frac{x}{4}>15$

Step 2: Now, multiply both sides by 4 to eliminate 4 on the left side of the equation.
$\Rightarrow \frac{x}{4}\times 4>15\times 4\Rightarrow x>60$

So, the value of $x$ which is greater than $60$ will be the solution of the inequality.

Hence, $x=60$ is not a solution of the inequality $\frac{x}{4}-5>11.$