Question

2. –2x + 1 ≤ –11

Answer 1

–2x + 1 ≤ –11


–2x ≤ –11-1


–2x ≤ –12


x ≥ –12/(-2)


x ≥ 6

Answer 2

thank you fot your help jim_thompson5910 i have a couple more prob. if you can help me with them....

Answer 3

sure

Answer 4

3. 10 < –3x + 1

Answer 5

10 < –3x + 1


10 - 1 < –3x


9 < –3x


9/(-3) > x


-3 > x


x < -3

Answer 6

4. 2(x + 5) > 8x – 8

Answer 7

2(x+5)>8x-8



2x+10>8x-8



2x>8x-8-10



2x-8x>-8-10



-6x>-8-10



-6x>-18



x<(-18)/(-6)



x < 3

Answer 8

5. –2(x – 3) ≥ 5 – (x + 3)

Answer 9

\[\Large -2(x-3) \ge 5-1(x+3) \]



\[\Large -2x+6 \ge 5-1x-3 \]



\[\Large -2x+6 \ge -x+2 \]



\[\Large -2x \ge -x+2-6 \]



\[\Large -2x+x \ge 2-6 \]



\[\Large -x \ge 2-6 \]



\[\Large -x \ge -4 \]



\[\Large x \le \frac{-4}{-1} \]



\[\Large x \le 4 \]

Answer 10

Thank you so much for all your help just one more.... 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.

if you could help that would be fantastic!

Answer 11

An open circle tell us that the point is excluded from the solution set while a closed circle tells us that the point is included in the solution set (these circles are usually the endpoints)


You shade to the right if the solution has a > or ≥ in it (eg: x > 4 means you shade to the right of 4)

You shade to the left if the solution has a < or ≤ in it (eg: y ≤ 10 means you shade to the left of 10)

Answer 12

wow you are so amazing thank you so much :D!!!!!

Answer 13

np, glad to be of help