How do you solve the inequality # 27x + 33 > 58x - 29#?

Answer 1

#x<2#

Treat an inequality in the same way as an equation, unless you multiply or divide by a negative number, in which case the inequality sign will change around.

#27x+33 > 58x-29#
#33+29 > 58x-27x#
#62 > 31x " " larr div31#
#2 > x#
This is the same as #x<2#
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Answer 2

To solve the inequality 27x + 33 > 58x - 29, subtract 27x from both sides to get 33 > 31x - 29. Then, add 29 to both sides to get 62 > 31x. Finally, divide both sides by 31 to get x < 2.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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