Good evening,
Answer:
x > 5
x ≤ 12
Step-by-step explanation:
Visualize as if the inequality symbols are equal signs and then solve it as you would for a normal equation, note if you divide by two negative numbers at all you then switch the sign.
On a number line, an inequality sign without the “equal to” is plotted with an open circe.
An inequality sign, with the “equal to” is plotted with a closed circle.
3x - 7> 8
Add seven on both sides, we do this because we want to eliminate the 7 from one side.
3x > 15
Divide both sides by 3, we do this because you want to get rid of the 3 from x.
x > 5
As for the second inequality.
Divide both sides by -3, as I mentioned earlier switch the side since we are dividing by two negative numbers.
x ≤ 12
For the greater than inequality x > 5, plot a open circle on 5 and draw the line going to the right.
For the less than or equal to inequality x ≤ 12, plot a closed cirlce on 12 and draw the line going to the left.
A unique trick is to graph the line based on the direction (right or left) the inequality symbol is pointing to.
Answer:
48
Step-by-step explanation:
About 40 millions of aluminum cans can be recycled each month in the US. A quarter of these aluminum cans are used to make one aluminum boat. How many aluminum boats can be made in one year in the US?
Given that:
Approximate Number of cans that can be recycled per month in the US = 40 million
Fraction of recycled cans that can be used to make an aluminum boat = 1/4
The number of aluminum boats that can be made in the US in one year :
If about 40 million cans are recycle per month :
The number of boat that can be made from each monthly recycled aluminum cans will be :
Number of monthly recycled can needed to make one boat:
1/4 * 40 million = 10 million cans
Hence, 40,000,000 / 10,000,000 = 4
4 aluminum boats can be made in one month :
Number of months in a year = 12
Number of aluminum boats that can be made in a year :
4 per month * 12 = 48 aluminum boats
Answer:
C: -2<x≤7
Step-by-step explanation:
- -2<x, as there is an open circle on -2
- x≤7 as there is a closed circle on 7
- Put them together, -2<x≤7
Answer:
(4 x 3) / 2
Step-by-step explanation:
Answer:
V220 should be the answer
