Question

HELP please hurry!!

Which number line shows all the values of that make the inequality -3x + 1 < 7 true?

Answer 1

Answer: D

Explanation:

-3x + 1 < 7

subtract 1 from both sides

-3x < 6

divide each side by -3

x > -2 (flip the greater than/less than sign because you divided by a negative)

-2 is not included so it is an open dot, and answers include all numbers greater than -2 so the answer will be D. Hope this helps!

Answer 2

Option D

Explanation:

–3x + 1 < 7

Isolate x by subtracting 1 from both sides of the inequality:

–3x + 1 – 1 < 7 – 1

–3x + 0 < 6

Simplify –3x < 6 by dividing both sides of the inequality by –3:

`(-3x)/(-3) < (6)/(-3)`

Use Division property of inequality, which reverses the inequality symbol when dividing both sides of the inequality by a negative number. Therefore:

`(-3x)/(-3) > (6)/(-3)`

x > – 2

Solution: x > –2

Interval notation: [(–2, ∞)]