Question

how do i solve the inequality for 5x-7y<-35 and graph the answer

Answer 1

do you know how to graph the line
\[5x-7y=-35\]? find the \(x\) and \(y\) intercepts, plot them and connect the dots
then we can figure out what part to shade

Answer 2

if the answer is "no i have no idea" let me know and i will walk you through it

Answer 3

to find the x intercept, sub in 0 for y
5x - 7y < -35
5x - 7(0) < -35
5x < -35
x < - 7 (x intercept is -7)

to find the y intercept, sub in 0 for x
5x - 7y < -35
5(0) - 7y < -35
-7y < -35
y > 5 ( y intercept is 5)

plot a point on the x axis at -7 and on the y axis at 5.

y = mx + b and the slope is m
5x - 7y < - 35
-7y < -5x - 35
y > -5/-7x + 5
y > 5/7x + 5 (the slope is 5/7)

start at the x axis point (-7) and go to the right 7 and up 5 and if you keep doing this you will cross the y axis at 5.

Since there is no equal sign, the line is dashed.

And since y > 5/7x + 5, then the shading is above the line.