Jeannine runs for 45 minutes every day for exercise. it takes her 8 minutes to run a mile, and she spends 5 minutes stretching halfway through the run. if x represents the number of miles she runs, then 8x + 5 ≤ 45 represents the time she runs each day. what is the fewest number of miles jeannine must run to complete her daily exercise?

angle addition postulate

2x=56

step-by-step explanation:

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!