$\"\"$ \ \

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Jamie wants to be able to run at least the standard marathon distance of $\"\"$ . \ \

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A good rule for training is that runners generally have enough endurance to finish a race that is up to $\"\"$ times his or her average daily distance. \ \ a. \ \

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The length of her current daily run is $\"\"$ .

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write an inequality. \ \

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Let $\"\"$ represents be the distance. \ \

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The inequality is $\"\"$ .

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$\"\"$ \ \ b.

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Solve the inequality. \ \

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$\"\"$ (Original inequality) \ \

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$\"\"$ (Distributive property: $\"\"$ )

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$\"\"$ (Subtract $\"\"$ from each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Subtract: $\"\"$ )

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$\"\"$ (Divide each side by $\"\"$ )

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$\"\"$ (Cancel common terms)

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Jamie should increase the distance of her average daily run by at least $\"\"$ .

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$\"\"$ \ \

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Her average daily run by at least $\"\"$ .