Question

other than a no solution set, use interval notation to express the solution set and then graph the solution set on a number line. 2x + 4 > 10 select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the solution set is. (type your answer using interval notation.) b. the solution set is ∅.

Explanation:

Step1: Subtract 4 from both sides

To isolate the term with \( x \), we subtract 4 from both sides of the inequality \( 2x + 4 > 10 \). This gives us \( 2x + 4 - 4 > 10 - 4 \), which simplifies to \( 2x > 6 \).

Step2: Divide both sides by 2

Next, we divide both sides of the inequality \( 2x > 6 \) by 2 to solve for \( x \). This gives us \( \frac{2x}{2} > \frac{6}{2} \), which simplifies to \( x > 3 \).

Step3: Express in interval notation

The solution \( x > 3 \) in interval notation is \( (3, \infty) \), where the parentheses indicate that 3 is not included in the solution set and \( \infty \) represents all numbers greater than 3.

Answer:

A. The solution set is \((3, \infty)\)