-3x - 10 < 6?

Question

i need to figure out what x is in -3x - 10 < 6

 

Answer 1

Hi Jammie, to find out what x is, solve the inequality for x.

 

Step 1:

 

Add 10 to both sides of the inequality.

 

-3x < 16

 

Step 2: 

 

Divide both sides by -3

 

x < 16 / -3

 

Step 3:

 

The most important step. Because you are dividing by a negative number, you must reverse the inequality symbol.

 

x > -16 / 3

 

You can check this answer by substituting various values for x and see what happens. As long as the number is greater than -16 / 3 or -5 and 1 / 3, the inequality is true. When the value for x is less than -16 / 3, the inequality is false.

 

Note: you must reverse the inequality symbol if you multiply or divide by a negative number.

 

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