481,939 views
36 votes
36 votes
Solve for X
2x + 9 < 27


Pls help I’ve tried x=9 but it’s not the answer

User Vencovsky
by
3.1k points

2 Answers

25 votes
25 votes

9 is the correct answer but you put it wrong.

Notice that the sign here is < not =.

Answer:

x < 9

Explanation:

Group all constants on the right side of the inequality

2x+9 < 27

Subtract 9 from both sides:

2x+9-9 < 27-9

Simplify the arithmetic:

2x <27 -9

Simplify the arithmetic:

2x < 18

Isolate the x

Divide both sides by2:


(2x)/(2) <(18)/(2)

Simplify the fraction:

x <
(18)/(2)

Find the greatest common factor of the numerator and denominator:


x < (9 *2)/(1*2)

Factor out and cancel the greatest common factor:

x < 9

User Zigg
by
3.2k points
13 votes
13 votes

Answer:

x < 9

Explanation:

Notice that the sign here is <, not =.

This is an inequality, not an equation.

When you solve an equation, you typically get an answer that x equals a certain number. When you solve an inequality, you typically get an answer that x is greater than a number or x is less than a number, so there are many numbers that are solutions to an inequality.

Let's solve this inequality.

2x + 9 < 27

Subtract 9 from both sides.

2x < 18

Divide both sides by 2.

x < 9

Answer: x < 9

Every number less than 9 is a solution to this inequality.

User Talha Mir
by
3.2k points
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