We have to choose which set of integers is included in ( -1, 3 ]. Integers that are included in this set are: 0, 1, 2, 3. Set number 2 is not included because -1 is not among those integers. Set number 3 is not included because it has numbers - 1 and 4. Set number 4 is not included because numbers - 2 and - 1 are not in the interval ( - 1 . 3]. Answer: (1) { 0, 1, 2, 3 }.<span> </span>
Answer: Each student should raise $225
Step-by-step explanation:
$12,500-$1,250= $11,250
$11,250/50= $225
Check answer:
$225x50= $11,250
Answer:
x=
15
7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
8x−
6
2
=x+12
8x+−3=x+12
8x−3=x+12
Step 2: Subtract x from both sides.
8x−3−x=x+12−x
7x−3=12
Step 3: Add 3 to both sides.
7x−3+3=12+3
7x=15
Step 4: Divide both sides by 7.
7x
7
=
15
7
x=
15
7
Answer: x > 5
Explanation: First we want to look at our variable and ask ourselves what's happening to it. Since 2 is being subtracted from 9x, we always undo addition and subtraction first so we add 2 to both sides.
That gives us 9x > 45.
Now we need to undo multiplication and division. Since 9 is being multiplied by <em>x</em>, to get <em>x</em> by itself, we need to divide by 9 on the left side of the inequality. If we divide by 9 on the left side, we must also divide by 9 on the right side.
This leaves us with <em>x > 5</em> which is the solution to this inequality.
