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stich3 [128]
3 years ago
6

Is the graph of the linear inequality y > -x - 3?

Mathematics
1 answer:
klasskru [66]3 years ago
5 0

Answer:

Second Graph

Step-by-step explanation:

Given the linear inequality, y > -x - 3, an easier way of determining its graph is through a test point.

A test point is an ordered pair that is not on the actual line of the graph. The point of origin, (0, 0) is often used for this purpose.

Substitute the values of (0, 0) into the linear inequality to find out whether it satisfies the given inequality statement:

y > -x - 3

0 > - (0) - 3

0 > - 0 - 3

0 > -3 (True statement). Therefore, the shaded region must contain the test point since it is one of the solutions to the given linear inequality.

Hence, the correct answer is the second graph.

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A total of 165 people attended the opening night of a school play. Adults were charged $6, and children were charged $2. The tot
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Given Information
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Total number of people = 165
Adult = $6
Child = $2
Total collected = $618

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Assumptions 
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Let x be the number of adults and y be the number of children

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Form equations
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Total number of people
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Ans: The two equations are x + y = 165 and 6x + 2y = 618
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Present the two equations and solve for x and y
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x + y = 165          ------------------------- (eqn 1)
6x + 2y = 618      ------------------------- (eqn 2)

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