What is 6x-3|7x-11|<-4(15/2 x-7) ?

The solution to 6x-3|7x-11|<-4(15/2 x-7) is x< 61/57

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6x-3|7x-11|<-4(15/2 x-7)

6 x - 3 ∣ 7 x - 11 ∣ < - 4 (\frac{15}{2} x - 7)

x < \frac{61}{57}

Interval Notation

(- \infty, \frac{61}{57})

Decimal Notation

x < 1.07017 \dots

Solution steps

6 x - 3 ∣ 7 x - 11 ∣ < - 4 (\frac{15}{2} x - 7)

Find positive and negative intervals

x < \frac{11}{7}, x \geq \frac{11}{7}

Solve the inequality for each interval

x < \frac{61}{57} or No Solution

Merge Overlapping Intervals

x < \frac{61}{57}

\frac{1}{2} x + \frac{2}{3} = - \frac{19}{42}

3 ∣ y + 4 ∣ \leq 15

\frac{2}{5} \cdot 8

x - 29 = - 3 (3 + x)

x^{2} - 2 x - 15 < 0

What is 6x-3|7x-11|<-4(15/2 x-7) ?
The solution to 6x-3|7x-11|<-4(15/2 x-7) is x< 61/57