Question

Solve the inequalities below and graph the solution on a number line.

10 < –3x + 1

Answer 1

10 < –3x + 1
-3x + 1 > 10
-3x > 9
x < -3

Answer 2

thanks can you help me with another one? @Ari-Bear16

Answer 3

Sure @ilovenyc

Answer 4

@Ari-Bear16 Solve the inequalities below and graph the solution on a number line. 2(x + 5) > 8x – 8

Answer 5

2(x + 5) > 8x – 8
2x + 10 > 8x - 8
8x - 8 < 2x + 10
6x < 18
x < 3

Answer 6

@Ari-Bear16 thanks so much, do you know how to graph on a number line by any chance?

Answer 7

@ilovenyc No sorry just knew the answers and how to explain them

Answer 8

@Ari-Bear16 okay well that is fine, could you answer more by any chance?

Answer 9

@ilovenyc Sure :)

Answer 10

@Ari-Bear16 okay i have one more but maybe you could help me with the last two as well.

5) Solve the inequalities below and graph the solution on a number line.–2(x – 3) ≥ 5 – (x + 3)

6. Explain, in complete sentences, when you would use an open circle or a closed circle, and when you would shade to the right or left, to graph an inequality on the number line.

7. Describe a real life scenario where inequalities are used and state the inequality.

Answer 11

1) –2(x – 3) ≥ 5 – (x + 3)
-2x + 6 ≥ 5 - x - 3
4 ≥ x
x ≥ 4
2) You would use an open circle when the curve does not actually hit that point in the graph (in terms of inequality, when the variable is larger (or smaller) than the value, but not equal to it). You would use a closed circle when the curve does actually hit the point on the graph. You shade to the left when x is larger than given value (example: x > 3). You shade to the right when x is smaller than the given value (example: x < 6).

3) A real life scenario: There are over 9000 purchases made a week. (x > 9000)

Answer 12

@ilovenyc Any more? :)

Answer 13

@Ari-Bear16 THANK YOU SO MUCH!

Answer 14

@ilovenyc Lol No Problem.