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kipiarov [429]
3 years ago
14

Which of the following coordinates of points belong to the solution set of the inequality y <2x² +3x - 5?

Mathematics
1 answer:
bogdanovich [222]3 years ago
6 0

Answer:

<h3>A , D</h3>

Step-by-step explanation:

Check the inequality for each point.

For A. (-3,2)

y <  {2x}^{2}  + 3x - 5 \\ 2  <  {2 ( - 3)}^{2}  + 3( - 3) - 5 \\ 2 < 2 \times 9 - 9 - 5 \\ 2 < 18 - 9 - 5 \\ 2 < 4 \\

The inequality is satisfied.

For B. (-2,9)

y <  {2x}^{2}  + 3x - 5 \\ 9 < 2 {( - 2)}^{2}  + 3( - 2) - 5 \\ 9 < 2(4) - 6 - 5 \\ 9 < 8 - 6 - 5 \\ 9 <  - 3 \\

The inequality is not satisfied.

For C. (1,6)

y <  {2x}^{2}  + 3x - 5 \\ 6 <  {2(1)}^{2}  + 3(1) - 5 \\ 6 < 2(1) + 3 - 5 \\ 6 < 2 + 3 - 5 \\ 6 < 0

The inequality is not satisfied.

For D. (3,1)

y <  {2x}^{2}  + 3x - 5 \\ 1 <  {2(3)}^{2}  + 3(3) - 5 \\ 1 < 2(9) + 9 - 5 \\ 1 < 18 + 9 - 5 \\ 1 < 22 \\

The inequality is satisfied.

For E. (-1,5)

y <  {2x}^{2}  + 3x - 5 \\ 5 <  {2( - 1)}^{2}  + 3( - 1) - 5 \\ 5 < 2(1) - 3 - 5 \\ 5 < 2 - 3 - 5 \\ 5 <  - 6 \\

The inequality is not satisfied.

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