Ask your own question, for FREE!
Mathematics 19 Online
jadadunn:

Which number completes the system of linear inequalities represented by the graph? y > 2x – 2 and x + 4y > ? a. -12 b. -3 c. 4 d. 6

Vocaloid:

@jadadunn for the first equation, look for the graph that matches the equation y = 2x - 2, with a dotted line and the shaded area above the line

jadadunn:

That is the graph that goes with the equation but I need to know what the " ? " is

Vocaloid:

ok, we can see that the red equation represents y > 2x – 2 so we will match the second equation to the blue graph

Vocaloid:

hint: what is the y-intercept of the blue graph?

jadadunn:

So -3 right ?

Vocaloid:

good but we're not done yet

Vocaloid:

the equation for the blue line can be written as y > - (1/4)x - 3 now we need to match it up to the original equation

Vocaloid:

now we multiply both sides by 4

Vocaloid:

4y > -x - 12 4y + x > - 12 making the final answer -12

jadadunn:

thank you

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!