What value of x is in the solution set of 9(2x + 1) < 9x – 18? A: -4 B: -3 C: -2 D: -1

Question

asked Feb 10, 2017 122k views

2 Answers

Pedro Bernardes · Answer 1 · 2017-02-11T02:46:57+0000

Answer:

Option A is correct

-4

Explanation:

Given the equation:

9(2x+1)<9x-18

Using distributive property:
$a \cdot (b+c) = a\cdot b+ a\cdot c$

then;

18x+9<9x-18

Subtract 9x from both sides we have;

9x+9<-18

Subtract 9 from both sides we have;

9x<-27

Divide both sides by 9 we have;

x < -3

We can write this as:

x∈
$(-\infty, -3)$

From the given option, only x = -4 belong to the set of the solution.

Therefore, the value of x is in the solution set of 9(2x + 1) < 9x – 18 is, -4

Sihad Begovic · Answer 2 · 2017-02-16T03:38:10+0000

For this case we have the following inequality:

Solving the inequality we have:

Distributive property:

Combine similar terms:

18x - 9x <-9 - 18

From here, we clear the value of x:

Therefore, the solution is given by:

(-∞, -3)

The point that belongs to the solution is:

Answer:

The value of x is in the solution set is:

A: -4