Question 278534
-2x + 15 > 3

Treat it like a regular equation.

Subtract 15 from both sides.

-2x > 3 - 15

-2x > -12

Divide both sides by -2.  Don't forget to reverse the inequality sign since we are dividing by a negative number.

x < -12/-2

Final answer: x < 6

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What does this answer mean?

It means that whatever the value of x is, it must be smaller than 6 to make the original inequality a true statement.

Want to see the prove?

Let's say that x is 5.

When x is 5 (or any number less than 6) we will make a true statement.

You were given -2x + 15 > 3.

Replace x with my chosen number 5 and simplify.

-2(5) + 15 > 3

-10 + 15 > 3

5 > 3....Since 5 is bigger than 3, we just made true statement proving that the correct answer is x < 6.


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