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Answered

What value of x is in the solution set of 9(2x + 1) < 9x – 18?


A: -4

B: -3

C: -2

D: -1

Verified Answer :

carlosego

For this case we have the following inequality:

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

Solving the inequality we have:

Distributive property:


\(18x + 9 <9x - 18
\)

Combine similar terms:


\(18x - 9x <-9 - 18\)


\(9x <- 27
\)

From here, we clear the value of x:

\(x <-\frac{27}{3}

\)

\(x <-3
\)

Therefore, the solution is given by:

(-∞, -3)

The point that belongs to the solution is:

\(x = -4
\)

Answer:

The value of x is in the solution set is:

A: -4

Answer:

Option A is correct

-4

Step-by-step 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

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