Question: Solve the linear inequality. Other than Ø, graph the solution set on a number line. \[ 5 -…

Solve the linear inequality. Other than Ø, graph the solution set on a number line.

\[ 5 - \frac{x}{4} > 7 \]

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The solution set in interval notation is (Simplify your answer. Use integers or fractions for any numbers in the expression. Type your answer in interval notation.)

B. The solution set is Ø.

Solution

Let’s solve the inequality step by step. \[ \frac{5}{4} > 7 & \] \[ \frac{5}{4} = 1.25 & \] \[ 1.25 > 7 \text{ is false} & \] Since the inequality \( \frac{5}{4} > 7 \) is not true, there are no solutions that satisfy this inequality. Answer: B. The solution set is ∅ (the empty set)