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How do you solve #4(t-7)<2(t+9)#?

Answer 1

Eva Adamson

#t <23#

#4(t-7) < 2(t+9)" "# remove the brackets

#4t-28<2t+18" "# treat like an equation

#4t -2t < 18+28#

#2t < 46" "#isolate t so divide by 2

#t <23#

In this case we could treat the inequality exactly as an equation because it did not involve division or multiplication by a negative number.

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Answer 2

Nathan Axel

To solve the inequality (4(t - 7) < 2(t + 9)), first distribute the constants inside the parentheses:

(4t - 28 < 2t + 18)

Then, isolate the variable terms on one side and the constant terms on the other side:

(4t - 2t < 18 + 28)

Combine like terms:

(2t < 46)

Finally, divide both sides by 2:

(t < \frac{46}{2})

(t < 23)

Therefore, the solution to the inequality is (t < 23).

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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 #4(t-7)&lt;2(t+9)#?

How do you solve #4(t-7)<2(t+9)#?