Respuesta :
Inequalities are used to represent unequal numbers.
The solution is: [tex]\mathbf{x > -3}[/tex] or [tex]\mathbf{x< -3}[/tex]
The inequalities are given as:
[tex]\mathbf{-4x + 60 < 72}[/tex]
[tex]\mathbf{14x + 11 < -31}[/tex]
Solving [tex]\mathbf{-4x + 60 < 72}[/tex]
Collect like terms
[tex]\mathbf{-4x < 72 - 60}[/tex]
[tex]\mathbf{-4x < 12}[/tex]
Divide through by -4 (the inequality sign changes)
[tex]\mathbf{x > -3}[/tex]
Solving [tex]\mathbf{14x + 11 < -31}[/tex]
Collect like terms
[tex]\mathbf{14x< -31 -11}[/tex]
[tex]\mathbf{14x< -42}[/tex]
Divide both sides by 14
[tex]\mathbf{x< -3}[/tex]
So, the solution is:
[tex]\mathbf{x > -3}[/tex] or [tex]\mathbf{x< -3}[/tex]
Read more about inequalities at:
https://brainly.com/question/15137133