What is ((5[x]+4))/((11[x]+7))>= 3 ?

The solution to ((5[x]+4))/((11[x]+7))>= 3 is -7/11 <x<=-17/28

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((5[x]+4))/((11[x]+7))>= 3

\frac{( 5 [ x ] + 4 )}{( 11 [ x ] + 7 )} \geq 3

- \frac{7}{11} < x \leq - \frac{17}{28}

Interval Notation

(- \frac{7}{11}, - \frac{17}{28}]

Decimal Notation

- 0.63636 \dots < x \leq - 0.60714 \dots

Solution steps

\frac{5 [ x ] + 4}{11 [ x ] + 7} \geq 3

Rewrite in standard form

\frac{- 28 x - 17}{11 x + 7} \geq 0

Identify the intervals

- \frac{7}{11} < x \leq - \frac{17}{28}

3 x^{2} - 4 (x + 1) < (2 x - 1) (x + 1)

x^{2} > \frac{4}{13}

\frac{( ( x + 5 ) ( x - 8 ) )}{( x - 12 )} > 0

7 x + 5 x < x^{2} - 10

\frac{( x - 2 ) ^{2} ( x - 1 )}{( x - 3 )} \geq 0

What is ((5[x]+4))/((11[x]+7))>= 3 ?
The solution to ((5[x]+4))/((11[x]+7))>= 3 is -7/11 <x<=-17/28