Question

-2(3x-1)<8 on a number line

Answer 1

Checkout the image below the explanation.

Explanation:

1. First, let's solve the inequality.

Step 1: Simplify both sides of the inequality.

• 
  `-6x + 2 < 8`

Step 2: Subtract 2 from both sides.

• 
  `-6x + 2 - 2 < 8 - 2`
• 
  `-6x < 6`

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

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  `(-6x)/(-6) < (6)/(-6)`
• 
  `x > -1`

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: