Grade 11Algebra
log2(x2-3x-2)＞= 4 then x lies in the intervala) [6,∞)b) (-∞,-1)c) [6,10]d) [-1,-6]
log2(x2-3x-2)＞= 4 then x lies in the interval
a) [6,∞)
b) (-∞,-1)
c) [6,10]
d) [-1,-6]
2 Answers
Arun
Approved Tutor Answer6 Years agoDear student
X² - 3x -2 greater than 0
And x² +3x-2 greater than or equal to 16
Take intersection of these two solution. You will get your answer
Aditya Gupta
Approved Tutor Answer6 Years agolog2(x2-3x-2)＞= 4
raise both sides to power of 2.
2^log2(x2-3x-2)＞= 2^4
x^2 – 3x – 2 ＞= 16
or (x – 6)(x+3)＞= 0
or x belongs to ( – inf, – 3]U[6, inf).
option a and c are correct. seems like a multi correct problem. anyway the complete soln is x belongs to ( – inf, – 3]U[6, inf).
KINDLY APPROVE :))
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