The solution to 45<(110)/s is 0<s< 22/9

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45<(110)/s

The solution to 45<(110)/s is 0<s< 22/9

Solution

45 < \frac{110}{s}

0 < s < \frac{22}{9}

Interval Notation

(0, \frac{22}{9})

Decimal Notation

0 < s < 2.44444 \dots

Solution steps

45 < \frac{110}{s}

Switch sides

\frac{110}{s} > 45

Rewrite in standard form

\frac{110 - 45 s}{s} > 0

Factor

\frac{110 - 45 s}{s} : \frac{- 5 ( 9 s - 22 )}{s}

\frac{- 5 ( 9 s - 22 )}{s} > 0

Multiply both sides by

- 1

(reverse the inequality)

\frac{( - 5 ( 9 s - 22 ) ) ( - 1 )}{s} < 0 \cdot (- 1)

Simplify

\frac{5 ( 9 s - 22 )}{s} < 0

Divide both sides by

5

\frac{\frac{5 ( 9 s - 22 )}{s}}{5} < \frac{0}{5}

Simplify

\frac{9 s - 22}{s} < 0

Identify the intervals

0 < s < \frac{22}{9}

2 x^{2} - 3 x + 10 = 7

\frac{8 - 3 x}{2} = 5

1.34 d^{2} - 1.1 d = - 1.02

b^{3}

\frac{a - \frac{2 a - 1}{a}}{\frac{1 - a}{3 a}}