\(Q11.\:\) If \(\left |x\right|=2\), then which of the following is True?
\( a) \quad \) \(x\ne2\)
\( b) \quad \) \(x=2,-2\)
\(c) \quad \) \(x\ne-2\)
\( d) \quad \) \(x=2, x\ne -2\)
\( \text{Answer/Explanation}\)
\(Q12.\:\) If \(|x+3|=5\), then which of the following is True?
\( a) \quad \) \(x=2,-8\)
\( b) \quad \) \(x=2,8\)
\(c) \quad \) \(x=-2,-8\)
\( d) \quad \) \(x=-2,8\)
\( \text{Answer/Explanation}\)
\(Q13.\:\) If \(|9x|=27\), then which of the following is true?
\( a) \quad \) \(x=3,-3\)
\( b) \quad \) \(x=3,9\)
\(c) \quad \) \(x=3,-27\)
\( d) \quad \) \(x=-3,27\)
\( \text{Answer/Explanation}\)
\(Q14.\:\) If \(|6x-1|=11\), then which of the following is True?
\( a) \quad \) \(x=2,\frac{5}{3}\)
\( b) \quad \) \(x=-2,\frac{5}{3}\)
\(c) \quad \) \(x=-2,-\frac{5}{3}\)
\( d) \quad \) \(x=2,-\frac{5}{3}\)
\( \text{Answer/Explanation}\)
\(Q15.\:\) If \(|3x-a|=5\), and \(a\) is a negative integer then value of \(x\) will be
\( a) \quad \) \(x=\frac{5+a}{3}, \frac{-5+a}{3}\)
\( b) \quad \) \(x=\frac{5-a}{3}, \frac{5+a}{3}\)
\(c) \quad \) \(x=\frac{5-a}{3}, \frac{-5-a}{3}\)
\( d) \quad \) \(x=\frac{5+a}{3}, \frac{-5-a}{3}\)
\( \text{Answer/Explanation}\)
\(Q16.\:\) If \(|2x-1|=3x\), then what is the possible value of \(x\)?
\( a) \quad \) \(-1\)
\( b) \quad \) \(\frac{1}{5}\)
\(c) \quad \) \(\frac{3}{5}\)
\( d) \quad \) \(\frac{4}{5}\)
\( \text{Answer/Explanation}\)
\(Q17.\:\) If \(|x|=x\) then which of the following is True?
\( a) \quad \) \(x=-2\)
\( b) \quad \) \(x=-3\)
\(c) \quad \) \(x=-4\)
\( d) \quad \) \(x=5\)
\( \text{Answer/Explanation}\)
\(Q18.\:\) If \(|-x|=x\), then which of the following is NOT True?
\( a) \quad \) \(x=1\)
\( b) \quad \) \(x=2\)
\(c) \quad \) \(x=-3\)
\( d) \quad \) \(x=4\)
\( \text{Answer/Explanation}\)
\(Q19.\:\) Which of the following is true if \(∣x∣=−x\)
\( a) \quad \) \(x\) can be any real number.
\( b) \quad \) \(x\) can be any positive real number.
\(c) \quad \) \(x\) must be a negative real number.
\( d) \quad \) \(x\) must be a non-positive real number.
\( \text{Answer/Explanation}\)
\(Q20.\:\) Which of the following is true if \(|x|=a-x\), where \(a\) is a real number?
\( a) \quad \) \(x\) can be any real number regardless of \(a\)
\( b) \quad \) \(x\) must satisfy \(x>a\)
\(c) \quad \) \(x\) must satisfy \(x\le a\)
\( d) \quad \) \(x\) must satisfy \(x<a\)
\( \text{Answer/Explanation}\)