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How do you solve the inequality #10 ≥ 15 + 5t#?

Answer 1

#t<=-1#

#10>=15+5t# #rArr -5>=5t# subtracting #15# from both sides #rArr -1>=t# #rArr t<=-1# sign reversed while exchanging sides

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Answer 2

Genesis Allen

To solve the inequality (10 \geq 15 + 5t), first, subtract 15 from both sides to isolate the term involving (t). This gives (10 - 15 \geq 15 + 5t - 15), which simplifies to (-5 \geq 5t).

Next, divide both sides by 5 to solve for (t). Since dividing by a negative number reverses the inequality sign, divide by -5. This gives (-5/5 \geq 5t/5), which simplifies to (-1 \geq t).

So, the solution to the inequality is (t \leq -1).

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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.