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16 votes
16 votes
Would you please help me with both problems :) the instructions would like me to solve the inequalities by graphing.

Would you please help me with both problems :) the instructions would like me to solve-example-1
User Shreeya Chhatrala
by
2.7k points

1 Answer

27 votes
27 votes

we have a system of inequalities

y > 2x-3

the solution to this inequality is the shaded area above the dashed line y=2x-3

2x-y≥1

isolate the variable y

-y≥1-2x

multiply by -1 both sides

y≤2x-1

the solution to this inequality is the shaded area below the solid line y=2x-1

therefore

the solution of this system is the shaded area above the dashed line y=2x-3 and below the solid line y=2x-1

using a graphing tool

see the attached figure

please wait a minute to draw the solution

Problem N 2

we have

y<6

the solution to this inequality is the shaded area below the dashed line y=6

and

y>x+3

the solution to this inequality is the shaded area above the dashed line y=x+3

therefore

the solution to the system is the shaded area below the dashed line y=6 and above the dashed line y=x+3

Would you please help me with both problems :) the instructions would like me to solve-example-1
User Flybywind
by
3.2k points
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