Graph the solution to this system of inequalities in the coordinate plane.
1 answer:
By using Geogebra online graphing calculator, the solution to this system of inequalities are plotted in the image attached below.
<h3>What is an inequality?</h3>An inequality is a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:
- Less than (<).
- Greater than (>).
- Less than or equal to (≤).
- Greater than or equal to (≥).
Given the following system of inequalities:
3y > 2x + 12 ⇒ 3y - 2x > 12
2x + y ≤ -5
By using Geogebra online graphing calculator, the solution to this system of inequalities are plotted in the image attached below.
Read more on inequalities here: brainly.com/question/24372553
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Answer:
23, 24, 25, 26, 27, 28, 29, or 30
22.5 ≤ p ≤ 30
Step-by-step explanation:
So we know that in 2/3 hours, Carlos can write 3 to 4 pages.
First, lets find how many 2/3's are in 5. Lets divide 5 by 2/3.
So there are 7.5 2/3's in 5.
Now, lets assume Carlos writes 4 pages per 2/3 hours consistently throughout that 5 hours. This would yield the maximum amount of pages Carlos can write in 5 hours.
7.5(4) = 30
So the maximum amount of pages Carlos can write in 5 hours is 30.
Now, lets assume Carlos writes 3 pages per 2/3 hours consistently throughout that 5 hours. This would yield the minimum amount of pages Carlos can write in 5 hours.
7.5(3) = 22.5
So the minimum amount of pages Carlos can write in 5 hours is 22.5.
Now we can write the information that we found as an inequality. Lets make p equal to the pages that Carlos can write in 5 hours.
22.5 ≤ p ≤ 30
Any value greater than to equal to 22.5 and less than or equal to 30 would be reasonable.
I hope you find my answer and explanation to be helpful. Happy studying.