The null and alternative hypotheses

For each pair of hypotheses that follows, decide whether H₀ and H₁ are set up correctly as the null and alternative hypotheses for a hypothesis test. If so, select "Valid" from the drop down menu. If not, select "Invalid". (4 pairs total)

1 H₀: μ ≠ 81 2 H₀: M = 21
H₁: μ = 81 H₁: M ≠ 21
3 H₀: μ = 117 4 H₀: µ = 239
H₁: μ ≠ 116 H₁: µ ≠ 239
You evaluate the (alternative hypothesis OR null hypothesis) ??? by assuming that it is true and testing the reasonableness of this assumption by calculating the probability of getting the results if chance alone is operating.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

im with everythinglos so yeahhhhh

step-by-step explanation: