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 ∅.

choose the correct graph below.
a.
<---(-10 -8 -6 -4 -2 0 2 4 6 8 10--->
b.
<---(-10 -8 -6 -4 -2 0 2 ) 4 6 8 10--->
c.
<---(-10 -8 -6 -4 -2 0 2 ( 4 6 8 10--->
d. the solution set is ∅.

Explanation:

Step1: Isolate the term with x

Subtract 4 from both sides.
$2x + 4 - 4 < 10 - 4$
$2x < 6$

Step2: Solve for x

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 $(-\infty, 3)$.

Step4: Match to the correct graph

An open circle at 3 and arrow pointing left matches option A.

Answer:

For the multiple-choice about the solution set:
A. The solution set is $(-\infty, 3)$. (Type your answer using interval notation.)

For the graph choice:
A. (The number line with an open bracket at 3 and arrow pointing left to negative infinity)