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How do you solve the inequality #-4 + 9 ≤ w - 21#?

Answer 1

Abigail Allen

#w>=26#

#-4+9<=w-21#

Add #21# to both sides.

#21-4+9<=w#

Simplify.

#26<=w#

Switch sides.

#w>=26#

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Answer 2

Kennedy Adams

To solve the inequality -4 + 9 ≤ w - 21, first simplify both sides of the inequality.

-4 + 9 becomes 5. So, the inequality becomes: 5 ≤ w - 21

Next, add 21 to both sides of the inequality to isolate the variable w. This results in: 5 + 21 ≤ w

Combining like terms, we get: 26 ≤ w

Therefore, the solution to the inequality is w ≥ 26.

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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.