Graph the system of linear in inequalities y < 3x - 4 and y greater than or equal to - 1/2x + 3

Question

Mathematics

Kailey Bryant

7 July, 19:57

Graph the system of linear in inequalities y < 3x - 4 and y greater than or equal to - 1/2x + 3

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Answers (1)

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Aydin Case · Answer 1

See explanation

Step-by-step explanation:

1. To graph the inequality y<3x-4, you need to plot dotted line y=3x-4 and then shade the part that doesn't contain the origin, because 0<3·0-4 is false statement. This is red region on the coordinate plane below.

2. To graph the inequality y≥-1/2x+3, you need to plot solid line y=-1/2x+3 and then shade the part that doesn't contain the origin, because 0≥-1/2·0+3 is false statement. This is blue region on the coordinate plane below.

3. The common part of two regions is the solution of the system of two inequalities.