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

The solution to 1/2 x-5 =-16/19

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

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

x \geq - \frac{16}{19}

Interval Notation

[- \frac{16}{19}, \infty)

Decimal Notation

x \geq - 0.84210 \dots

Solution steps

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

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

Move

5

to the right side

\frac{1}{2} x \leq \frac{25 x - 44}{12} + 5

Multiply by LCM

6 x \leq 25 x + 16

Move

25 x

to the left side

- 19 x \leq 16

Multiply both sides by

- 1

19 x \geq - 16

Divide both sides by

19

x \geq - \frac{16}{19}

x^{2} - 23 x - 24

27 + 64 x^{3}

e^{- 2 l n (10)}

- \frac{5}{8} - (- \frac{1}{6})

\frac{25}{16}

What is 1/2 x-5<= 3/4 (x-4)+((4x-2))/3 ?
The solution to 1/2 x-5<= 3/4 (x-4)+((4x-2))/3 is x>=-16/19