Multiple choice

Find the number of integral values of x satisfying √-x²+10x-16 < x-2

  1. 4

  2. 2

  3. 3

  4. 1
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

√−x² +10x−16 ​ 0

x 2 −7x+10>0

(x−5)(x−2)>0

x∈(−∞,2)U(5,∞)…(2)

Points which lie in both the interval (1) and (2) are 6,7 and 8

∴x=6,7,8

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