Ali is choosing between two exercise routines. In Routine #1, he burns 25 calories walking. He then runs at a rate that burns10.5 calories per minute. In Routine #2, he burns 48 calories walking. He then runs at a rate that burns 4.75 calories per minute. For what amounts of time spent running will Routine #1 burn at most as many calories as Routine #2? Use for the number of minutes spent running, and solve your inequality for .

linear pair postulates

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!