If \(x < 5\), then
\(-x < -5\)
\(-x \le -5\)
\(-x > -5\)
\(-x \ge -5\)
Given that \(x, y\) and \(b\) are real numbers and \(x < y,\; b < 0\), then
\(\dfrac{x}{b} < \dfrac{y}{b}\)
\(\dfrac{x}{b} \le \dfrac{y}{b}\)
\(\dfrac{x}{b} > \dfrac{y}{b}\)
\(\dfrac{x}{b} \ge \dfrac{y}{b}\)
If \(-3x + 17 < -13\), then
\(x \in (10,\infty)\)
\(x \in [10,\infty)\)
\(x \in (-\infty,10]\)
\(x \in [-10,10]\)
If \(x\) is a real number and \(|x| < 3\), then
\(x \ge 3\)
\(-3 < x < 3\)
\(x \le -3\)
\(-3 \le x \le 3\)
\(x\) and \(b\) are real numbers. If \(b > 0\) and \(|x| > b\), then
\(x \in (-b,\infty)\)
\(x \in (-\infty,b]\)
\(x \in (-b,b)\)
\(x \in (-\infty,-b) \cup (b,\infty)\)
If \(|x-1| > 5\), then
\(x \in (-4,6)\)
\(x \in [-4,6]\)
\(x \in (-\infty,-4) \cup (6,\infty)\)
\(x \in (-\infty,-4) \cup [6,\infty)\)
If \(|x+2| \le 9\), then
\(x \in (-7,11)\)
\(x \in [-11,7]\)
\(x \in (-\infty,-7) \cup (11,\infty)\)
\(x \in (-\infty,-7) \cup [11,\infty)\)
The inequality representing the shaded square in Fig 6.7 (square centred at origin extending to \(\pm5\) on both axes) is:
\(|x| < 5\)
\(|x| \le 5\)
\(|x| > 5\)
\(|x| \ge 5\)
Which set corresponds to the number line in Fig 6.8?
\(x \in (-\infty,5)\)
\(x \in (-\infty,5]\)
\(x \in [5,\infty)\)
\(x \in (5,\infty)\)
Which set corresponds to the number line in Fig 6.9 (point at \(\tfrac{9}{2}\))?
\(x \in (\tfrac{9}{2},\infty)\)
\(x \in [\tfrac{9}{2},\infty)\)
\(x \in (-\infty,\tfrac{9}{2})\)
\(x \in (-\infty,\tfrac{9}{2}]\)
Which set corresponds to the number line in Fig 6.10 (open circle at \(\tfrac{7}{2}\) with arrow right)?
\(x \in (-\infty,\tfrac{7}{2})\)
\(x \in (-\infty,\tfrac{7}{2}]\)
\(x \in [\tfrac{7}{2},\infty)\)
\(x \in (\tfrac{7}{2},\infty)\)
Which set corresponds to the number line in Fig 6.11 (filled dot at \(-2\) with arrows both ways)?
\(x \in (-\infty,-2)\)
\(x \in (-\infty,-2]\)
\(x \in (-2,\infty)\)
\(x \in [-2,\infty)\)