3. Don and Charlie decide to begin working out together at the gym. Don begins working out for 20 minutes and increases his workout by 5 minutes per week.
Charlie begins working out for 35 minutes and increases his workout by 3
minutes per week.
a. Write an equation to represent the number of minutes that Don works out,
m, as a function of weeks, w.
b. Write an equation to represent the number of minutes that Charlie works
out, m, as a function of weeks, w.
c. Using any means, determine the number of weeks it will take for Don and
Charlie to work out the same number of minutes.

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!

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