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Popular >

(49)/c <= 14

Solution

\frac{49}{c} \leq 14

Solution

c < 0 or c \geq \frac{7}{2}

+2

Interval Notation

(- \infty, 0) \cup [\frac{7}{2}, \infty)

Decimal Notation

c < 0 or c \geq 3.5

Solution steps

\frac{49}{c} \leq 14

Rewrite in standard form

\frac{49 - 14 c}{c} \leq 0

Factor

\frac{49 - 14 c}{c} : \frac{- 7 ( 2 c - 7 )}{c}

\frac{- 7 ( 2 c - 7 )}{c} \leq 0

Multiply both sides by

- 1

(reverse the inequality)

\frac{( - 7 ( 2 c - 7 ) ) ( - 1 )}{c} \geq 0 \cdot (- 1)

Simplify

\frac{7 ( 2 c - 7 )}{c} \geq 0

Divide both sides by

7

\frac{\frac{7 ( 2 c - 7 )}{c}}{7} \geq \frac{0}{7}

Simplify

\frac{2 c - 7}{c} \geq 0

Identify the intervals

c < 0 or c \geq \frac{7}{2}

Popular Examples

0 = (2 y - 1) (8 - y)

factor 216x^3-27 factor

216 x^{3} - 27

|((x-7))/((4x-15))|>8

\frac{( x - 7 )}{( 4 x - 15 )} > 8

- 16 = \frac{8 x}{5}

3n^2+8n+16=2n^2

3 n^{2} + 8 n + 16 = 2 n^{2}

Frequently Asked Questions (FAQ)

What is (49)/c <= 14 ?
The solution to (49)/c <= 14 is c<0\lor c>= 7/2