If x < 5, then which of the following must be true? - x < 5 - x > -5 - x > 5 - x < -5

Question

asked Jul 24, 2023 110k views

1 Answer

Jan Grz · Answer 1 · 2023-07-29T16:42:01+0000

Let's check the options :

- x < 5

Divide both sieds by - 1

$( - x)/( - 1) > ( 5)/( - 1) \\$

x > - 5

False

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- x > - 5

Divide both sides by - 1

$( - x)/( - 1) < ( - 5)/( - 1) \\$

x < 5

True

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Divide both sides by - 1

$( - x)/( - 1) < (5)/( - 1) \\$

x < - 5

False

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- x < - 5

Divide both sides by - 1

$( - x)/( - 1) > ( - 5)/( - 1) \\$

False