Question

-8 < -3x - 5 < 7.... is the correct answer 1 < x < -4?

Answer 1

-8 < -3x - 5 < 7

-8+5 < -3x < 7+5

-3 < -3x < 12

-3/(-3) > x > 12/(-3) ... Note: the signs flip when you divide all sides by a a negative number

1 > x > -4

-4 < x < 1

Answer 2

*a negative number

Answer 3

don't forget the rule to flip the inequality sign whenever you divide by a negative number

Answer 4

ok thank you!!

Answer 5

now, how would you graph the solution on a number line?

Answer 6

Draw the number line. Then draw an open circle at -4 and draw an open circle at 1. Then shade everything between these two open circles (don't fill in the circles)

Answer 7

ok that's what i thought; thanks!