Question

Solve the inequality.
3x + 6 <21

Answer 1

3x + 6 < 21

subtract 6 on both sides

3x < 15

reduce by dividing with 3

x < 5

remember to handle inequalities just like equations

Answer 2

To solve the inequality 3x + 6 < 21, subtract 6 from both sides and divide by 3 to isolate the variable x. The solution is x < 5.

3x + 6 < 21

Subtract 6 from both sides of the inequality:

3x + 6 - 6 < 21 - 6

Simplify:

3x < 15/3

Divide both sides by 3 to isolate x:

`(3x)/(3) < (15)/(3)`

Simplify:

x < 5

So, the solution to the inequality is

x<5.

Now, let's compare this result with the given options:

a. x<5: This matches our solution.

b. x>5: This is not correct.

c. x≤5: This is not correct.

d. x≥5: This is not correct.

Therefore, the correct answer is:

a. x < 5

Complete Question:
Solve the inequality. 3x + 6 <21

a. X < 5

b. X >5

c. X ≤ 5

d. X ≥ 5