transform the inequality into an equivalent inequality with y on one side?

Question

1.) 2x+y>-4


2.)y-2x<-3
---------_-- there is a line under the less than and greater than sign
thanks

Answer 1

1) y>-4-2X
2) y< -3+2X
_

Answer 2

You can move stuff around in an inequality in pretty well the same way as you can in an equality except that:

If you multiply or divide by a negative number, then the orientation of the sign changes.

For example:
3 < 5 (Three less than 5)
when both sides are multiplied by -1 becomes
-3 > -5

2x + y < -4
Subtract 2x from both sides:
y < -4 - 2x

---

The little line under the inequality sign means "or equal"
So that we'd have y "is smaller than or equal to" -4 -2x (if there was a line under the <).

Answer 3

1) y<2x+4

2) y< 2x -3

Answer 4

upload 2x on the two factors y ? 2x - 3 now bear in mind a thank you to graph equations that are in slope-intercept type y = mx + b positioned element at -3 on the y-axis, then from this element flow 2 up then one million good (because of the fact the slope is two) and plot a 2nd element. draw a sturdy line and coloration decrease than because of the inequality ? ~~

Answer 5

1.) 2x+y>-4 :: y> -4 - 2x
2.)y-2x<=-3 :: y<= 2x-3