Exhaustive set of value of x satisfying log | x |( x 2+ x +1) ≥ 0 is -

Question

Exhaustive set of value of x satisfying log | x |( x 2+ x +1) ≥ 0 is - (A) (-1,0) (B) (-∞, 1) ∪(1, ∞) (C) (-∞, ∞)- -1,0,1  (D) (-∞,-1) ∪(-1,0) ∪(1, ∞)

Tardigrade Admin · Accepted Answer

Correct answer is (d) (-∞,-1) ∪(-1,0) ∪(1, ∞)

Q. Exhaustive set of value of $x$ satisfying $lo g_{∣ x ∣} (x^{2} + x + 1) \geq 0$ is -

$(- 1, 0)$

$(- \infty, 1) \cup (1, \infty)$

$(- \infty, \infty) - {- 1, 0, 1}$

$(- \infty, - 1) \cup (- 1, 0) \cup (1, \infty)$

Correct answer is (d) $(- \infty, - 1) \cup (- 1, 0) \cup (1, \infty)$

Q. Exhaustive set of value of x satisfying log∣x∣​(x2+x+1)≥0 is -

(−1,0)

(−∞,1)∪(1,∞)

(−∞,∞)−{−1,0,1}

(−∞,−1)∪(−1,0)∪(1,∞)

Correct answer is (d) (−∞,−1)∪(−1,0)∪(1,∞)

Q. Exhaustive set of value of $x$ satisfying $lo g_{∣ x ∣} (x^{2} + x + 1) \geq 0$ is -

$(- 1, 0)$

$(- \infty, 1) \cup (1, \infty)$

$(- \infty, \infty) - {- 1, 0, 1}$

$(- \infty, - 1) \cup (- 1, 0) \cup (1, \infty)$

Correct answer is (d) $(- \infty, - 1) \cup (- 1, 0) \cup (1, \infty)$