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Diego started an exercise program in which each week he works out at the gym between 4.5 and 6 hours and walks between 9 and 12 miles. Write a system of inequalities to represent this.

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sam4040

Answer:

[tex]4.5<x<6\\9<y<12[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be time that Diego spends in gym and [tex]y[/tex] be walking distance.

Gym Time:

Minimum time of gym[tex]=4.5\ hours[/tex]

Maximum time of gym[tex]=6\ hours[/tex]

So the time [tex]x[/tex] will be greater than [tex]4.5[/tex] and less than [tex]6[/tex].

[tex]4.5<x<6[/tex]

Walking Distance:

Minimum Distance[tex]=9\ miles[/tex]

Maximum Distance[tex]=12\ miles[/tex]

So the walking distance will be greater than [tex]9[/tex] and less than [tex]12[/tex]

[tex]9<y<12[/tex]

Inequalities:

[tex]4.5<x<6\\9<y<12[/tex]

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