What is 7<= 2/9 x+9<= 10 ?

The solution to 7<= 2/9 x+9<= 10 is -9<= x<= 9/2

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7<= 2/9 x+9<= 10

7 \leq \frac{2}{9} x + 9 \leq 10

- 9 \leq x \leq \frac{9}{2}

Interval Notation

[- 9, \frac{9}{2}]

Decimal Notation

- 9 \leq x \leq 4.5

Solution steps

7 \leq \frac{2}{9} x + 9 \leq 10

a \leq u \leq b

then

a \leq u and u \leq b

7 \leq \frac{2}{9} x + 9 and \frac{2}{9} x + 9 \leq 10

7 \leq \frac{2}{9} x + 9 : x \geq - 9

\frac{2}{9} x + 9 \leq 10 : x \leq \frac{9}{2}

Combine the intervals

x \geq - 9 and x \leq \frac{9}{2}

Merge Overlapping Intervals

- 9 \leq x \leq \frac{9}{2}

25 k^{2} - 20 + \frac{4}{k ^{2}}

\frac{- 4}{- 3}

∣ 6 z - 1 ∣ - 5 = - 1

98 + 52

∣ 2 - 3 x ∣ + 5 < 10