What is (6)((x-6))/7-((x-5))/5 <=-1 ?

The solution to (6)((x-6))/7-((x-5))/5 <=-1 is x<= 110/23

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(6)((x-6))/7-((x-5))/5 <=-1

(6) \frac{( x - 6 )}{7} - \frac{( x - 5 )}{5} \leq - 1

x \leq \frac{110}{23}

Interval Notation

(- \infty, \frac{110}{23}]

Decimal Notation

x \leq 4.78260 \dots

Solution steps

(6) \frac{( x - 6 )}{7} - \frac{( x - 5 )}{5} \leq - 1

Expand

(6) \frac{x - 6}{7} - \frac{x - 5}{5} : \frac{23 x}{35} - \frac{29}{7}

\frac{23 x}{35} - \frac{29}{7} \leq - 1

Multiply both sides by

35

23 x - 145 \leq - 35

Move

145

to the right side

23 x \leq 110

Divide both sides by

23

x \leq \frac{110}{23}

\frac{x}{5 + 1} \leq \frac{x}{2 - 5}

\frac{2 x + ( 6 - 3 x )}{4} < 4

x + 1 > \frac{2}{3}

3 x + 5 > x - 2

\frac{x + 3}{2} > \frac{x}{2 - 1}

What is (6)((x-6))/7-((x-5))/5 <=-1 ?
The solution to (6)((x-6))/7-((x-5))/5 <=-1 is x<= 110/23