find-the-range-of-values-of-x-2-9-3-9-x-2-3-

Question Number 67687 by Rio Michael last updated on 30/Aug/19

f i n d t h e r a n g e o f v a l u e s o f

∣ \frac{x^{2} - 9}{3_{}} ∣= \frac{9 - x^{2}}{3}

Commented by mr W last updated on 30/Aug/19

L H S ⩾ 0

\Rightarrow 9 - x^{2} ⩾ 0

\Rightarrow x^{2} ⩽ 9

\Rightarrow - 3 ⩽ x ⩽ 3

9 - x^{2} ⩽ 9

\frac{9 - x^{2}}{3} ⩽ 3

\Rightarrow 0 ⩽ \frac{9 - x^{2}}{3} ⩽ 3

Commented by Rio Michael last updated on 30/Aug/19

s i r i s i t L H S < 0 o r L H S ⩾ 0 ?

Commented by mr W last updated on 30/Aug/19

L S H =∣ \dots ∣⩾ 0

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