Question

Three times a number decreased by five ikbetween 41 and 58. Enter your answer in interval notation.Interval notation of valid valuesO No interval of valid values

Answer 1

(-12, 21)

Step-by-step explanation:

3 times a number decreased by 5 means 3x -5.

This number is between -41 and 58; therefore,

`-41<3x-5<58`

Now we solve for the unknown number x.

Adding 5 to the three sides gives

`\begin{gathered} -41+5<3x-5<58+5 \\ -36<3x<63 \end{gathered}`

finally, dividing the inequality by 3 gives

`-12which in interval notation we write as [tex](-12,21)`

the parenthesis indicates that the -12 and 21 are not included in the solution interval =.