1. x – 3 –9 2. –2x + 1 ≤ –11 3. 10 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. (3 points) 7. Describe a real life scenario where inequalities are used and state the inequality. (2 points)

Question

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. (3 points)

7. Describe a real life scenario where inequalities are used and state the inequality. (2 points)

anonymous · Answer

1. x - 3 > -9. Opposite of -3 is +3, Add 3 to -9 and x > -6

anonymous · Answer

2. -2x + 1 ≤ -11. Opposite of +1 is -1 so subtract that -1 to -11. -2x ≤ -12 now the opposite of multiplication is division -2x/-2 ≤ -12/-2 (REMEMBER, that when you divide you switch the sign) so now its x ≥ 6

anonymous · Answer

3. 10 < –3x + 1. Opposite of +1 is -1, subtract -1 to 10... 9  < -3x, opposite of multiplication is division so divide -3 to 9 (Switching sign!) -3 > x

anonymous · Answer

4. 2(x + 5) > 8x – 8. Distribute 2(x+5) first by multiplying 2 to everything inside the parenthesis. 2*x and 2*5 which is 2x+10 > 8x - 8 then  bring all letters to the left, opposite of +8x is -8x, 2x-8x is -6x. -6x +10 > -8 and get the opposite of +10 and subtract -8-10, -6x > -18 and divide -6 to -18 (again switching signs cause your dividing with a negative) x < 3

anonymous · Answer

On the second answer when I said "(REMEMBER, that when you divide you switch the sign)" I meant When you divide with a Negative number theen you switch the signs

anonymous · Answer

Thats all I can do right now! Hoped I helped

anonymous · Answer

the best explaination is1/2