QuestionWrite an absolute value inequality for the RDI of $800 \mathrm{mg}$ with a variation of $\pm 80 \mathrm{mg}$ .

Studdy Solution

STEP 1

Assumptions1. The recommended daily intake (RDI) of the supplement is800 mg/day. The actual supplement needs may vary by plus or minus80 mg

STEP 2

We need to write an absolute value inequality to express the RDI plus or minus80 mg. The absolute value of a difference is used to express the idea of "difference being less than or equal to some value". In this case, the difference between the actual intake (x) and the RDI (800 mg) should be less than or equal to80 mg.
$|x - RDI| \leq Variation$

STEP 3

Now, plug in the given values for the RDI and the variation to write the absolute value inequality.
$|x -800| \leq80$ This inequality expresses that the actual intake can be80 mg more or less than the RDI of800 mg.
Looking at the options given, the correct absolute value inequality that expresses the RDI of this supplement is option C $|x-800| \leq80$ .

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