Question

Helpp plzzzz its really confusing. don't answer jus for points if u don't know it.

Answer 1

2. B) n > 2

4. B) -3

5. C) 1
`(1)/(2)` (Which is equal to 1.5)

8. D) x >
`(1)/(2)`

Explanation:

2. -6n < -12

To solve for n, divide by -6. When divide by a negative, you flip the sign.

n > 2

4. 2(n + 5)
`\geq` 4 and 3(n - 1) < 3

Divide by 2 for the first inequality and divide by 3 for the second inequality.

n + 5
`\geq` 2 and n - 1 < 1

Now subtract 5 and add 1

n
`\geq` -3 and n < 2

Since the inequality says and, both equations have to be true when n is plugged in. We can see that -3 works, since it is equal to -3 AND is less than 2.

5. 4x - 7
`\geq`
`\frac{-12x+14}4}`

Multiply by 4 to both sides

16x - 28
`\geq` -12x + 14

Now add 12x and add 28.

28x
`\geq` 42

Divide by 28 to get x.

x
`\geq` 1.5

So the answer is C.

8. 3(2x - 1) > 4x - 2

For this one, distribute the 3 to the numbers in the parentheses.

6x - 3 > 4x - 2

Add 3 and subtract 4x.

2x > 1

Divide by 2.

x >
`(1)/(2)`