Gabe went to the amusement park with $40 to spend. His ticket cost $26.50. Write and solve an inequality to show how much he mig
1 answer:
<h3><u>An inequality to show how much he might spend on souvenirs and snacks is:</u></h3>
Given that,
Gabe went to the amusement park with $40 to spend
His ticket cost $26.50
Therefore,
Total amount she has = $ 40
Ticket cost = $ 26.50
Let "x" be the amount he might spend on souvenirs and snacks
Therefore,
Remaining amount = 40 - 26.50
Remaining amount = 13.5
Thus she can spend less than or equal to $ 13.5 on souvenirs and snacks
Which is represented in inequality as:
Thus the inequality is found
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we have the inequality
step 1
Find out the first solution (positive case)
The first solution is all real numbers less than or equal to 1.20
Interval (-infinite,1.20]
step 2
Find out the second solution (negative case)
Multiply by -1 both sides
The second solution is all real numbers greater than or equal to -2.8
the interval [-2.8, infinite)
step 3
Find out the solution to the given inequality
The solution is
[-2.8, infinite) ∩ (-infinite,1.20]=[-2.8,1.20]
the solution is the interval [-2.8,1.20]
see the attached figure to better understand the problem
inequality could be used to find the number of models Walt builds. Correct option B).
<u>Step-by-step explanation:</u>
Here we have , Dwight and Walt are building model cars. Dwight builds 7 fewer models than 4 times the number Walt builds.Dwight builds at most 9 models. We need to find Which inequality could be used to find the number of models Walt builds . Let's find out:
Let the the number Walt builds is x , So Dwight builds 7 fewer models than 4 times the number Walt builds i.e.
⇒
But , according to question Dwight builds at most 9 models i.e.
⇒
⇒
⇒
⇒
Therefore , inequality could be used to find the number of models Walt builds which is Dwight builds at most 9 and Walt builds at most 4 .