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]This problem is for my math class
Solve the inequality below
6x - 5 < 55

1 Answer

6 votes

Answer: x < 10

Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is 6x by adding 5 to both sides.

That leaves you with 6x < 60 and now just divide both sides by 2 and x < 10.

Notice that because we divide both sides of the inequality

by a positive number, not a negative, we did not change the

direction of the inequality sign.

Finally, put your answer in set notation, {x: x < 10}.

Unlike an equation which normally has one solution, the answer to an inequality must be stated as a solution set because an entire set of answers will work. In this problem, it's any number less than 10.

User Ntoonio
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