1. x – 3 > –9
2. –2x + 1 ≤ –11
3. 10 < –3x + 1
4. 2(x + 5) > 8x – 8
5. –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.
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Answers & Comments
Verified answer
1. x > -6
so... x = -5, -4, -3,........etc etc
2. -2x +1 ≤ -11
-2x ≤ -12
x ≤ 6
x = 6, 5, 4, 3,.......etc etc
3. 10 < -3x +1
9 < - 3x
x > -3
x = -2, -1,.....etc etc
4.2x + 10 > 8x - 8
-6x > --18
x > -18/-6
x > 3
x = 4, 5, 6......etc etc
5. -2x +6 ≥ 5 - x - 3
-2x + 4 ≥ -x
-x + 4 ≥ 0
-x ≥ -4
x ≥ 4
x = 4, 5, 6,.....etc etc...
6. idk ( sorry )
7. idk ( sorry )