Question

the graph below represents the following system of inequalities
y > x - 2
y > 2x + 2

Which point (x,y) satisfies the given system of inequalities
A. (1,-6)
B. (-3,-1)
C. (-1,-6)
D. (3,-1)
​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

The graph below represents the following system of inequalities

y > x - 2

y > 2x + 2

Which point (x,y) satisfies the given system of inequalities

A. (1,-6)

B. (-3,-1)

C. (-1,-6)

D. (3,-1)

EVALUATION

Here the given system of inequalities

y > x - 2

y > 2x + 2

We see that the points (1,-6) , (-1,-6) , (3,-1) do not lie in the feasible region

So the points (1,-6) , (-1,-6) , (3,-1) do not satisfy the inequalities

Only the point (-3,-1) lies on the feasible region

Also

- 1 > - 3 - 2

⇒ - 1 > - 5 which is true

So (- 3,-1) satisfies the first inequality

Again

- 1 > 2 × - 3 + 2

⇒-1 > - 4

So (- 3,-1) satisfies the second inequality

∴ (- 3,-1) satisfies the inequalities

FINAL ANSWER

Hence the correct option is B. (-3,-1)

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Answer 2

Answer:

Step-by-step explanation: