The inequality representing the following graph is

Question

The inequality representing the following graph is (A) |x|<3 (B) |x| ≤ 3 (C) |x|>3 (D) |x| ≥ 3

Tardigrade Admin · Accepted Answer

The shaded region in the figure lies between x=-3 and x=3 not including the line x=-3 and x=3 (lines are dotted). Therefore, -3< x< 3 ⇒ |x|< 3 (∵|x|< a Leftrightarrow-a< x < a)

Q. The inequality representing the following graph is

$∣ x ∣ < 3$

$∣ x ∣ \leq 3$

$∣ x ∣ > 3$

$∣ x ∣ \geq 3$

The shaded region in the figure lies between $x = - 3$ and $x = 3$ not including the line $x = - 3$ and $x = 3$ (lines are dotted).
Therefore, $- 3 < x < 3$
$\Rightarrow ∣ x ∣ < 3 (∵ ∣ x ∣ < a \Leftrightarrow - a < x < a)$

Q. The inequality representing the following graph is

∣x∣<3

∣x∣≤3

∣x∣>3

∣x∣≥3

The shaded region in the figure lies between x=−3 and x=3 not including the line x=−3 and x=3 (lines are dotted). Therefore, −3<x<3 ⇒∣x∣<3(∵∣x∣<a⇔−a<x<a)

$∣ x ∣ < 3$

$∣ x ∣ \leq 3$

$∣ x ∣ > 3$

$∣ x ∣ \geq 3$

The shaded region in the figure lies between $x = - 3$ and $x = 3$ not including the line $x = - 3$ and $x = 3$ (lines are dotted).
Therefore, $- 3 < x < 3$
$\Rightarrow ∣ x ∣ < 3 (∵ ∣ x ∣ < a \Leftrightarrow - a < x < a)$