What is -10*|3x-4|+5<-2 ?

The solution to -10*|3x-4|+5 47/30

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-10*|3x-4|+5<-2

- 10 \cdot ∣ 3 x - 4 ∣ + 5 < - 2

x < \frac{11}{10} or x > \frac{47}{30}

Interval Notation

(- \infty, \frac{11}{10}) \cup (\frac{47}{30}, \infty)

Decimal Notation

x < 1.1 or x > 1.56666 \dots

Solution steps

- 10 ∣ 3 x - 4 ∣ + 5 < - 2

Move

5

to the right side

- 10 ∣ 3 x - 4 ∣ < - 7

Multiply both sides by

- 1

10 ∣ 3 x - 4 ∣ > 7

Divide both sides by

10

∣ 3 x - 4 ∣ > \frac{7}{10}

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

u > a

3 x - 4 < - \frac{7}{10} or 3 x - 4 > \frac{7}{10}

3 x - 4 < - \frac{7}{10} or 3 x - 4 > \frac{7}{10}

x < \frac{11}{10} or x > \frac{47}{30}

(1 + \frac{0.04}{365})^{365} - 1

(b^{4})^{2}

(2 t - 1)^{2} = 4 t^{2} + 1

- 3 (v + 5) + 2 = 4 (v + 2)

\frac{1}{6 a b ^{4}} - \frac{3}{8 a ^{3} b ^{2}}

What is -10*|3x-4|+5<-2 ?
The solution to -10*|3x-4|+5<-2 is x< 11/10 \lor x> 47/30