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-3 + 5x < 7x - 5

 x > 1

Step-by-step explanation:

NOTES: Move all of the x's to the left side and the numbers to the right side using inverse operations.  Remember to flip the inequality symbol if you multiply or divide by a negative.

-3 + 5x < 7x - 5

    - 7x    -7x      

-3 - 2x <       -5

+3               +3    

     -2x <       -2  

    ÷-2  ↓    ÷-2  

         x >        1

Graph:     o→

                1

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3