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.
By definition we have to:
A set has under an operation if performance of that operation on set members always produces a member of the same set; in this case we also say that the set is closed under the operation.
For this case we have the following polynomials:
Multiplying we have:
The product of two polynomials is also a polynomial.
Answer:
d 
is a polynomial
The answer is: x = -1, y = +4
Answer: 24 cones.
Step-by-step explanation:
We know that each cone contains 1/32 of a gallon of ice cream.
And Izzy has a total of 3/4 gallons.
How many cones we can make with this? This will be equal to the quotient between 3/4 gallons and 1/32 gallons, which will be equal to the number of times that we can fit 1/32 in 3/4
this is:
N = (3/4 gal)/(1/32 gal) = 24
This means that we can make 24 ice cream cones with 3/4 gal of ice cream.
