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How do you solve #-1< \frac{ x + 2}{ 5}#?

Answer 1

Abigail Allen

#x> -7#

Multiply both sides of the inequality by 5 to eliminate the fraction.

#5xx-1< cancel(5)^1xx(x+2)/cancel(5)^1#

#rArr-5< x+2#

To solve for x, subtract 2 from both sides.

#-5-2< xcancel(+2)cancel(-2)#

#rArr-7< x" or " x> -7#

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Answer 2

Kennedy Adams

To solve the inequality -1 < \frac{x + 2}{5}, follow these steps:

Multiply both sides of the inequality by 5 to clear the fraction: -1 * 5 < x + 2
Simplify: -5 < x + 2
Subtract 2 from both sides: -5 - 2 < x
Simplify: -7 < x

So, the solution to the inequality is x > -7.

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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.

How do you solve #-1&lt; \frac{ x + 2}{ 5}#?

How do you solve #-1< \frac{ x + 2}{ 5}#?