Determine whether the inequality is always, sometimes, or never true.

4x- 8<1+4(x+3)

Always true.

Step-by-step explanation:

First, solve the inequality:

4x - 8 < 1 + 4 ( x + 3 )

Distribute the 4,

4x - 8 < 1 + 4 ( x + 3 )

4x - 8 < 1 + 4x + 12

Simplify,

4x - 8 < 1 + 4x + 12

4x - 8 < 13 + 4x

Inverse operations,

4x - 8 < 13 + 4x

-4x              -4x

-8 < 13

This is an identity, this equation: -8 < 13, is always going to be true.

Hence the inequality is always true.

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step-by-step explanation: