A company manufactures bottles of distilled water. The bottles have a capacity of 500 mL with a maximum variation in capacity of less than 2 mL. The bottles that are not within this variation limit are rejected.
Which inequality or inequalities would represent the capacity (v), in mL, of the bottles which will not be rejected?
1. 498 < v < 502
2. 498 ≤ v ≤ 502
3. v < 498 or v > 502
4. v ≤ 498 or v ≥ 502

Here is their argument. given the obtuse angle x, we make a quadrilateral abcd with ∠dab = x, and ∠abc = 90◦, and ad = bc. say the perpendicular bisector to dc meets the perpendicular bisector to ab at p. then pa = pb and pc = pd. so the triangles pad and pbc have equal sides and are congruent. thus ∠pad = ∠pbc. but pab is isosceles, hence ∠pab = ∠pba. subtracting, gives x = ∠pad−∠pab = ∠pbc −∠pba = 90◦. this is a preposterous conclusion – just where is the mistake in the "proof" and why does the argument break down there?

Daniel expanded the expression as shown below -2(-8x-4y+3/4)=-10x-8y-11/4 what errors did he make? check all that apply

If a || b and e || f , what if the value of y ?