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Popular >

3|5+t|-1>= 26

Solution

3 ∣ 5 + t ∣ - 1 \geq 26

Solution

t \leq - 14 or t \geq 4

+1

Interval Notation

(- \infty, - 14] \cup [4, \infty)

Solution steps

3 ∣ 5 + t ∣ - 1 \geq 26

Move

1

to the right side

3 ∣ 5 + t ∣ \geq 27

Divide both sides by

3

∣ 5 + t ∣ \geq 9

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

5 + t \leq - 9 or 5 + t \geq 9

5 + t \leq - 9 or 5 + t \geq 9

t \leq - 14 or t \geq 4

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Frequently Asked Questions (FAQ)

What is 3|5+t|-1>= 26 ?
The solution to 3|5+t|-1>= 26 is t<=-14\lor t>= 4