Answer:
(-12, 21)
Explanation:
3 times a number decreased by 5 means 3x -5.
This number is between -41 and 58; therefore,
[tex]-41<3x-5<58[/tex]Now we solve for the unknown number x.
Adding 5 to the three sides gives
[tex]\begin{gathered} -41+5<3x-5<58+5 \\ -36<3x<63 \end{gathered}[/tex]finally, dividing the inequality by 3 gives
[tex]-12which in interval notation we write as [tex](-12,21)[/tex]the parenthesis indicates that the -12 and 21 are not included in the solution interval =.
