Solve the following inequality. 21 ≤ -3(x-4) < 30

Step-by-step explanation:

The process of solving inequalities like this is similar to the process of solving equations. Isolate the variable x, and whatever you do to one side, do to the other sides.

1) First, distribute the -3 to the terms inside the parentheses:

2) Next, subtract 12 from all three sides:

3) Finally, divide all three sides by -3. However, remember that whenever you divide numbers on different sides by a negative number, you need to flip the signs to make them face the other way:

Thus, is the answer. Normally, answers are written with the numbers going from least to greatest, so you could also write it like this and it would still be correct, too:

-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