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Mathematics 18 Online
OpenStudy (erniellyd28):

4x>-32

OpenStudy (mathstudent55):

In this case, you want x alone, but x is being multiplied by 4. What operation is the opposite of multiplication?

OpenStudy (erniellyd28):

im very sorry i forgot to write down the direction. solve the inequality and write the solution set in set-builder notation

OpenStudy (erniellyd28):

division

OpenStudy (erniellyd28):

?

OpenStudy (mathstudent55):

OK. We'll solve it first and then we will write the answer in set-builder notation.

OpenStudy (mathstudent55):

Correct. Division is the opposite of multiplication. Since x is being multiplied by 4, we need to divide 4x by 4 to get just x. You need to do the same operation to both sides of an inequality, so divide both sides by 4.

OpenStudy (erniellyd28):

if im not mistaken the answer is 8 right?

OpenStudy (mathstudent55):

The answer is not just 8. In fact it would be -8, but it is not just a number. The answer is the inequality: x > -8

OpenStudy (mathstudent55):

Start with the given inequality. Since x is being multiplied by 4, we divide both sides by 4. |dw:1464559099190:dw|

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