Respuesta :

Answer:

x < -3 or x > -3

Step-by-step explanation:

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

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