The recommended daily intake (RDI) of a nutritional supplement for a certain age group is 600 mg/day. Actually, supplement needs vary from person to person. Write an absolute values inequality to express the RDI plus or minus 50 mg and solve it.
|x-600| <= 50
550 <= x <= 650
|x-600| <= 50
550 <= x <= 650
Good question Jon
To express the RDI plus or minus 50 mg, we can create an absolute value inequality. Let's assume x represents the amount of nutritional supplement intake:
|x - 600| ≤ 50
Now, we'll solve the inequality:
Case 1: (x - 600) ≤ 50
To isolate x, we can add 600 to both sides:
x - 600 + 600 ≤ 50 + 600
x ≤ 650
Case 2: -(x - 600) ≤ 50
To isolate x, we need to distribute the negative sign:
-x + 600 ≤ 50
To isolate x, we can subtract 600 from both sides:
-x + 600 - 600 ≤ 50 - 600
-x ≤ -550
Remember to flip the inequality sign when multiplying or dividing by a negative number:
-(-x) ≥ -(-550)
x ≥ 550
Therefore, combining both cases, the solution to the inequality is:
550 ≤ x ≤ 650
This means that the intake of the nutritional supplement should be between 550 mg/day and 650 mg/day, inclusive.