If x < y and b < 0, then \( \dfrac{x}{b} < \dfrac{y}{b} \).
False
If xy > 0, then x > 0 and y < 0.
False
If xy > 0, then x < 0 and y < 0.
True
If xy < 0, then x < 0 and y < 0.
False
If x < -5 and x < -2, then x ∈ (−∞, −5).
True
If x < −5 and x > 2, then x ∈ (−5, 2).
False
If x > −2 and x < 9, then x ∈ (−2, 9).
True
If |x| > 5, then x ∈ (−∞, −5) ∪ [5, ∞).
False
If |x| ≤ 4, then x ∈ [−4, 4].
True
Graph of x < 3 is the shaded region to the left of the vertical line x = 3.
False
Graph of x ≥ 0 is the shaded region to the right of the y-axis.
True
Graph of y ≤ 0 is the shaded region above the x-axis.
False
Solution set of x ≥ 0 and y ≤ 0 is the shaded region in the second quadrant.
False
Solution set of x ≥ 0 and y ≤ 1 is the shaded region to the right of the y-axis and below the line y = 1.
True
Solution set of x + y ≥ 0 is the shaded region above the line x + y = 0.
True