How do you solve and write the following in interval notation: $-7x-2< -8x-6$ ?

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Answer 1 · 2017-04-27T04:35:16

$(-oo, -4)$

Given: $-7x-2 < -8x - 6$

Add $8x$ to both sides of the inequality:

$-7x-2 + 8x < cancel(-8x) - 6 + cancel(8x)$

Simplify:

$x - 2 < -6$

Add #2@ to both sides of the inequality:

$x - 2 + 2 < -6 + 2$

Simplify:

$x < -4$

Interval notation: $(-oo, -4)$

How do you solve and write the following in interval notation: -7x-2< -8x-6-7x-2< -8x-6?