How do you solve $- 5 x + 2 \geq - 8 x$ $-5x+2>=-8x$ ?

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Answer 1 · 2016-09-13T17:05:50

$x \geq - \frac{2}{3}$ $x>=-2/3$

$- 5 x + 2 \geq - 8 x$ $-5x+2>=-8x$

By subtracting 2 from both sides, we get:
$- 5 x \geq - 8 x - 2$ $-5x>=-8x-2$

By adding 8x on both sides, we get:
$- 5 x + 8 x \geq - 2$ $-5x+8x>=-2$
$3 x \geq - 2$ $3x>=-2$

By dividing both sides by 3, we get:
$x \geq - \frac{2}{3}$ $x>=-2/3$

How do you solve −5x+2≥−8x-5x+2>=-8x?