It lies above but I say none of them holds true: Which test point holds true for the inequality 32y−2x≥1? Where does the shaded area lie for this inequality?

The test point (1/4, 3/4) (1/4, 1) (1, 0) (1, 1/4) (4, 1) holds true for this inequality. The shaded area for the inequality lies above or below the boundary line.

Question

It lies above but I say none of them holds true: Which test point holds true for the inequality 32y−2x≥1? Where does the shaded area lie for this inequality?




The test point  (1/4, 3/4)  (1/4, 1)  (1, 0)  (1, 1/4)  (4, 1)   holds true for this inequality. The shaded area for the inequality lies  above or below   the boundary line.

jim_thompson5910 · Answer

Plug each (x,y) point into the inequality and see which point makes the inequality true.

jim_thompson5910 · Answer

For example, testing (x,y) = (1,0) gives


32y - 2x >= 1
32(0) - 2(1) >= 1
0 - 2 >= 1
-2 >= 1... false


Since -2 >= 1 is false, this means 32y - 2x >= 1 is false when (x,y) = (1,0)

acxbox22 · Answer

@perl

anonymous · Answer

It's (1/4,3/4)

jim_thompson5910 · Answer

what else works?

anonymous · Answer

(1/4,1)

jim_thompson5910 · Answer

hmm I'm thinking there might be a typo

anonymous · Answer

(1/4,3/4)(1/4,1)(1,0)(1,1/4)(4,1)

jim_thompson5910 · Answer

only one point doesn't work while the others do

jim_thompson5910 · Answer

This is what I get with geogebra