Please answer the sum :-
x² - 5x + 6 ≤ 0 ; then , x ∈ (?)
So,
Find the value of (?).
© Note that (?) can contain multiple values and should be given in proper brackets.
Class 11 | Algebraic Inequalities.
NO SPAMS ALLOWED.
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Please answer the sum :-
x² - 5x + 6 ≤ 0 ; then , x ∈ (?)
So,
Find the value of (?).
© Note that (?) can contain multiple values and should be given in proper brackets.
Class 11 | Algebraic Inequalities.
NO SPAMS ALLOWED.
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Verified answer
Hola there,=> x² - 5x + 6 ≤ 0
=> x² - 3x - 2x + 6 ≤ 0
=> x(x - 3) - 2(x - 3) ≤ 0
=> (x - 3)(x - 2) ≤ 0
Case 1:
(x - 3) ≤ 0 and (x - 2) ≥ 0
x ≤ 3 and x ≥ 2
=> x ∈ (2, 3)
Case 2:
(x - 3) ≥ 0 and (x - 2) ≤ 0
x ≥ 3 and x ≤ 2. ... Impossible sol.
So the ans will be ;
x ∈ [2, 3]