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Darya [45]
3 years ago
7

Please check out my question

Mathematics
2 answers:
shutvik [7]3 years ago
4 0

Answer: D

<u>Step-by-step explanation:</u>

NOTES:

  • x-intercept is when y = 0
  • y-intercept is when x = 0

          <u>f(x)</u>        <u>g(x)</u>

x-int:     1          -1

y-int:    -1           1


A) x-intercepts are not equal so FALSE

B) y-intercepts are not equal so FALSE

C) y-intercept of f(x) is not greater than g(x) so FALSE

D) x-intercept of f(x) is greater than g(x) so TRUE

hichkok12 [17]3 years ago
3 0

Answer: Choice D) x intercept of f(x) is larger then the x intercept of g(x)

===================================

Explanation:

A) False. The x intercept of f is 1 while the x intercept of g is -1. The x intercept happens when y = 0. Visually, this is where the graph crosses the x axis.

B) False. The y intercept of f(x) is -1, compared to the y intercept of g(x) is +1. The y intercept happens when x = 0, which is when the graph crosses the y axis.

C) False. The y intercept of f(x) is actually smaller than the y intercept for g(x)

D) True. The x intercept of f(x) is larger than the x intercept of g(x). Compare 1 and -1, which are the x intercepts for f and g in that order.

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False

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Step-by-step explanation:

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To check which ordered pair (point) is in the solution set of the system of given linear inequalities y>x, y<x+1; we just need to plug given points into both inequalities and check if that point satisfies both inequalities or not. If any point satisfies both inequalities then that point will be in solution.

I will show you calculation for (5,-2)

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which is clearly false.

plug into y<x+1

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or -2<6

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hence (5,-2) is not in the solution.

Same way if you test all the given points then you will find that none of the given points are satisfying both inequalities.

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