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:
To spend at most $93, they need to rent the room less than or equal 13 hours.
Step-by-step explanation:
<u><em>The complete question is</em></u>
To rent a certain meeting room, a college charges a reservation fee of $15 and an additional fee of $6 per hour. The chemistry club wants to spend at most $93 on renting a room. What are the possible numbers of hours the chemistry club could rent the meeting room? Use t for the number of hours. Write your answer as an inequality solved for t,
Let
t ----> the number of hours
we know that
I this problem the word "at most" means "less than or equal to"
The number of hours rented multiplied by the cost per hour, plus the reservation fee, must be less than or equal to $93
so
The inequality that represent this situation is
solve for t
subtract 15 both sides
Divide by 6 both sides
therefore
To spend at most $93, they need to rent the room less than or equal 13 hours.