Respuesta :

Answer:

Checkout the image below the explanation.

Step-by-step explanation:

1. First, let's solve the inequality.

Step 1: Simplify both sides of the inequality.

  • [tex]-6x + 2 < 8[/tex]

Step 2: Subtract 2 from both sides.

  • [tex]-6x + 2 - 2 < 8 - 2[/tex]
  • [tex]-6x < 6[/tex]

Step 3: Divide both sides by -6 and flip the sign.

  • [tex]\frac{-6x}{-6} < \frac{6}{-6}[/tex]
  • [tex]x > -1[/tex]

2. Now that we solved the inequality and got x > -1, that means that all values of x are more than -1. It can be represented on the number-line as this:

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