What is 3/2 (x-4)<2-3/5 (1+4x) ?

The solution to 3/2 (x-4)<2-3/5 (1+4x) is x< 74/39

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3/2 (x-4)<2-3/5 (1+4x)

\frac{3}{2} (x - 4) < 2 - \frac{3}{5} (1 + 4 x)

x < \frac{74}{39}

Interval Notation

(- \infty, \frac{74}{39})

Decimal Notation

x < 1.89743 \dots

Solution steps

\frac{3}{2} (x - 4) < 2 - \frac{3}{5} (1 + 4 x)

Expand

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

Expand

2 - \frac{3}{5} (1 + 4 x) : \frac{7}{5} - \frac{12}{5} x

\frac{3}{2} x - 6 < \frac{7}{5} - \frac{12}{5} x

Move

6

to the right side

\frac{3}{2} x < \frac{37}{5} - \frac{12}{5} x

Move

\frac{12}{5} x

to the left side

\frac{39}{10} x < \frac{37}{5}

Multiply both sides by

10

39 x < 74

Divide both sides by

39

x < \frac{74}{39}

8.99 \cdot 1 0^{9} \cdot \frac{5.4 \cdot 1 0 ^{- 6}}{3.01}

\frac{x}{x + 5} - \frac{4}{x - 15} < 0

(- \frac{1}{2})^{- 3}

13 + 3 x = 6 x - 14

r^{2} - 4 r + 3 = 0

What is 3/2 (x-4)<2-3/5 (1+4x) ?
The solution to 3/2 (x-4)<2-3/5 (1+4x) is x< 74/39