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1 vote
Solve the multistep inequality.
4x + 3 < 5x − 6

User Utxeee
by
6.2k points

2 Answers

7 votes

Answer:

x > 9

Explanation:

4x + 3 < 5x − 6

-x < -9

x > 9

User Markus Deibel
by
6.6k points
2 votes

Answer:

x > 9

Explanation:

Isolate the variable, x. Treat the < as an equal sign, what you do to one side, you do to the other.

First, subtract 5x and 3 from both sides of the inequality:

4x (-5x) + 3 (-3) < 5x (-5x) - 6 (-3)

4x - 5x < -6 - 3

-x < -9

Isolate the variable, x. Divide -1 from both sides. Note that when you divide or multiply by a negative number, you must flip the sign:

(-x)/-1 < (-9)/-1

x < -9/-1

x > 9

x > 9 is your answer.

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User Quixrick
by
6.3k points