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.\\(\\)\\(\\)\\(\bigcirc\\) a. the solution set is \\(\square\\). (type your answer using interval notation.)\\(\\)\\(\bigcirc\\) b. the solution set is \\(\varnothing\\).

Explanation:

Step1: Subtract 4 from both sides

$2x + 4 - 4 < 10 - 4$
$2x < 6$

Step2: Divide both sides by 2

$\frac{2x}{2} < \frac{6}{2}$
$x < 3$

Step3: Write in interval notation

All real numbers less than 3 correspond to the interval $(-\infty, 3)$

Answer:

A. The solution set is $(-\infty, 3)$. (Type your answer using interval notation.)

For the number line graph: Draw an open circle at 3, and shade all the numbers to the left of 3 (extending towards negative infinity).