Best answer:
1.
|2x-1| ≥ 7 ----------(1)
2x-1 = 7
2x=8
x= 4
2x-1 = -7
2x= -6
x= -3
x=-3; x=4
plot the points on the real line.
------ ------ ------- --------
-∞....-3.....4.....∞
Consider the intervals (-∞,-3),(-3,4),(4,∞)
Choose 'any' one point from each interval and test inequality (1)
(-∞, -3) : choose...
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Best answer: 1.
|2x-1| ≥ 7 ----------(1)
2x-1 = 7
2x=8
x= 4
2x-1 = -7
2x= -6
x= -3
x=-3; x=4
plot the points on the real line.
------ ------ ------- --------
-∞....-3.....4.....∞
Consider the intervals (-∞,-3),(-3,4),(4,∞)
Choose 'any' one point from each interval and test inequality (1)
(-∞, -3) : choose x=-4
|2x-1| ≥ 7
9 ≥ 7 (true)
(-3,4) : choose x=0
|2x-1| ≥ 7
1 ≥ 7 (false)
(4,∞): choose x=5
|2x-1| ≥ 7
9 ≥ 7 (true)
(-∞,-3] U [4, ∞)
12 answers
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5 days ago