How do you solve the inequality #11 > a/4 - 16#?

Answer 1

Genesis Allen

#a<100#

#"add 16 to both sides"#

#11+16>a/4cancel(-16)cancel(+16)#

#rArr25>a/4#

#"multiply both sides by 4"#

#4xx25>cancel(4)xxa/cancel(4)#

#rArr100>a" or "a<100#

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Answer 2

Isaiah Anthony

To solve the inequality 11 > a/4 - 16, you first add 16 to both sides to isolate the term with 'a/4'. This gives you 27 > a/4. Then, to solve for 'a', you multiply both sides by 4 to cancel out the division by 4. This gives you 108 > a. Therefore, the solution to the inequality is a < 108.

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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 the inequality #11 &gt; a/4 - 16#?

How do you solve the inequality #11 > a/4 - 16#?