B. Solve the inequalities. Show your work as it is done in the examples. (Hint: One answer will be "no solution" and one answer will be "all real numbers".) 3. |x| < 8
4. |x| ≥ 11
5. |x - 4| > 5
6. |x - 2| ≥ 3
7. 5 > |x - 1|
8. |7x - 5| < -3
9. |4x + 5| + 2 ≥ 10
10. |2x + 3| + 6 > 0

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough