Question

Which value is a solution of the inequality 2x − 3 < 9? A. x = −4 B. x = −3 C. x = −2 D. x = 3

Answer 1

Explanation:

2x − 3 < 9

Solve:

2x − 3 < 9 <== add 3 to both sides

+ 3 + 3

2x < 12 <== divide both sides by 2, to isolate the variable (x)

/2 /2

x < 6

This means that x, can be any number than is smaller than (less than) 6.

A. x = −4

-5 < 6 <== correct

B. x = −3

-3 < 6 <== correct

C. x = −2

-2 < 6 <== correct

D. x = 3

3 < 6 <== correct

Therefore, all these are solutions to the inequality.

Hope this helps!

Answer 2

`\huge\boxed{\sf x < 6}`

Explanation:

Given inequality:

2x - 3 < 9

Add 3 to both sides

2x < 9 + 3

2x < 12

Divide 2 to both sides

x < 6

`\rule[225]{225}{2}`