Question

-3x + 1 < 7 on number line

Answer 1

D. x is greater than -2

Explanation:

Ok so,

-3x + 1 < 7

First, do the opposite of +1 which is -1 so you have to subtract 1 from both sides. Which should look like this.

-3x < 6

Then you divide -3 with 6 which will give you -2. You change the inequality sign becuase you divided with a - number.

Hope his helps. Have a good day!

Answer 2

The number line that shows all the values of x that make the inequality -3x +1 < 7 true is C.

To solve this inequality, we can subtract 1 from both sides to get -3x < 6. Then, we can divide both sides by -3 to get x > -2. This means that all values of x that are greater than -2 will make the inequality true.

The number line in option C shows all values of x that are greater than -2, so it is the correct answer.

Here is a more detailed explanation of how to solve the inequality:

-3x + 1 < 7

-3x + 1 - 1 < 7 - 1

-3x < 6

-3x / -3 > 6 / -3

x > -2

Therefore, the number line that shows all the values of x that make the inequality -3x +1 < 7 true is C.