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
@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
That is the graph that goes with the equation but I need to know what the " ? " is
ok, we can see that the red equation represents y > 2x – 2 so we will match the second equation to the blue graph
hint: what is the y-intercept of the blue graph?
So -3 right ?
good but we're not done yet
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
now we multiply both sides by 4
4y > -x - 12 4y + x > - 12 making the final answer -12
thank you
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