Question

Pleaseeeee help! And explain how you found the answer!

Answer 1

To solve this, you must follow PEMDAS. First, solve the parenthesis. Because a negative times a positive equals a negative, the product of the fractions is -1/6. Then multiply that by 12. That equals -12/6. This can be simplified down to -2.

If you need more help, comment below and I will do my best.

Answer 2

Number 6 is

Let's solve your inequality step-by-step.
12
(
1
2
x
−
1
3
)
>
8
Step 1: Simplify both sides of the inequality.
6
x
−
4
>
8
Step 2: Add 4 to both sides.
6
x
−
4
+
4
>
8
+
4
6
x
>
12
Step 3: Divide both sides by 6.
6
x
6
>
12
6
x
>
2
Answer:
x
>
2

Number 7


Let's solve your inequality step-by-step.
12
(
1
3
x
−
1
4
)
>
9
−
2
x
Step 1: Simplify both sides of the inequality.
4
x
−
3
>
−
2
x
+
9
Step 2: Add 2x to both sides.
4
x
−
3
+
2
x
>
−
2
x
+
9
+
2
x
6
x
−
3
>
9
Step 3: Add 3 to both sides.
6
x
−
3
+
3
>
9
+
3
6
x
>
12
Step 4: Divide both sides by 6.
6
x
6
>
12
6
x
>
2
Answer:
x
>
2