1

Problem

Solve the inequality: 3x + 5 > 10.

2

Step

THe given inequality is

3x + 5 > 10

3

Step

Subtract 5 from both sides of the inequality and after simplification:

\$3x + \cancel5 - \cancel5 > 10 - 5\$

3x > 5

4

Step

Divide both sides of the inequality by 3 and after simplification:

\$ (\cancel(3)x)/\cancel3 > 5/3 \$

\$ x > 5/3 \$

5

Solution

Therefore, the solution to the inequality 3x + 5 > 10 is \$ x > 5/3 \$.

6

Sumup

Please summarize steps

Choices

7

Choice-A

This is not correct. The correct solution is greater than \$5/3\$, not \$3/5\$

Wrong \$ x > 3/5\$

8

Choice-B

\$x > 5/3\$​. This is because x must be greater than \$5/3\$ for the inequality to hold true

Correct \$ x > 5/3\$

9

Choice-C

This is incorrect. The solution is greater than \$5/3\$, not less than

Wrong \$ x < 5/3\$

10

Choice-D

The inequality \$x < 3/5\$ isn’t accurate; it’s the solution for 3x + 5 < 10, the inverse

Wrong \$ x < 3/5\$

11

Answer

Option

B

12

Sumup

Please summarize choices