Question

6 minus 3 times a number is less than 30. Find the number:

Answer 1

Answer:

x > -8

Explanations:

Let the number be represented by x:

Three times the number = 3x

Six minus three times the number = 6 - 3x

Six minus three times the number is less than 30:

That can be interpreted mathematically as:

6 - 3x < 30

To find the value of x:

Step 1: Collect like terms

- 3x < 30 - 6

-3x < 24

Step 2: Divide both sides by 3:

`(-3x)/(3)=\text{ }(24)/(3)`

-x < 8

Multiply both sides by (-1) and change the < sign to >

(-1) (-x) > 8 x(-1)

x > -8