Solve this inequality (show your work)

3x -7 > 5

x > 4

Step-by-step explanation:

if x were to equal 4, then we would have 12 - 7 > 5 which when we simplify it, we know it's not true because it would be 5 > 5 which is incorrect. That means that the lowest number x could possibly be is 5 because when substituted and simplified, we get 8 > 5 which is correct. The answer I put means that x has to be greater than 4 because if x was any number greater than 4, it would make the inequality true.

(sorry if this is confusing, I'm not really good at explaining things. I hope it helped anyway)

x>4

Step-by-step explanation:

When solving an inequality, treat it exactly like you would when solving an equation. Perform reverse operations on both sides of the inequality to cancel values out and isolate the variable, which in this case, is x. The only difference is if you were to multiply or divide both sides by -1, you must reverse the inequality (ex. > turns into <)

Add 7 to both sides    

Divide both sides by 3

I hope this helps!

-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