Define a variable and write an equation to model each situation. Then solve. Show your work. Tickets to the county fair for four
1 answer:
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The resultant graph is shown in the attached image.
Explanation:
Before we begin, remember that when we multiply by a negative sign, we flip the sign of the inequality
The given inequality is:
-y ≤ 3x - 5
We will multiply both sides by -1 to get a positive y vale. This will give us:
y ≥ -3x + 5
Now, to graph the inequality, we will first draw the line y = -3x + 5 and then shade the region having y values greater than the line.
To know the region, you will simply use trial and error method for random points on the two sides of the line.
The final solution would be as shown in that attachment.
Hope this helps :)
Explanation:
Before we begin, remember that when we multiply by a negative sign, we flip the sign of the inequality
The given inequality is:
-y ≤ 3x - 5
We will multiply both sides by -1 to get a positive y vale. This will give us:
y ≥ -3x + 5
Now, to graph the inequality, we will first draw the line y = -3x + 5 and then shade the region having y values greater than the line.
To know the region, you will simply use trial and error method for random points on the two sides of the line.
The final solution would be as shown in that attachment.
Hope this helps :)
Given:
The inequalities are:
or
To find:
The solution for the given inequalities and graph the solution.
Solution:
We have,
or
Solve the above inequalities separately.
Divide both sides by -5.
...(i)
And,
Divide both sides by 2.
...(ii)
From (i) and (ii). we get
or
The interval notation of the solution is .
The graph of the solution is shown below.
