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Popular >

2|4+t|-2>= 12

Solution

2 ∣ 4 + t ∣ - 2 \geq 12

Solution

t \leq - 11 or t \geq 3

+1

Interval Notation

(- \infty, - 11] \cup [3, \infty)

Solution steps

2 ∣ 4 + t ∣ - 2 \geq 12

Move

2

to the right side

2 ∣ 4 + t ∣ \geq 14

Divide both sides by

2

∣ 4 + t ∣ \geq 7

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

4 + t \leq - 7 or 4 + t \geq 7

4 + t \leq - 7 or 4 + t \geq 7

t \leq - 11 or t \geq 3

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Frequently Asked Questions (FAQ)

What is 2|4+t|-2>= 12 ?
The solution to 2|4+t|-2>= 12 is t<=-11\lor t>= 3