tmua 2022 Q9

tmua · Uk · paper2 1 marks Inequalities Quadratic Inequality Holding for All x (or a Restricted Domain)

Consider the following statement: () For all real numbers $x$, if $x < k$ then $x ^ { 2 } < k$ What is the complete set of values of $k$ for which () is true?
A no real numbers
B $k > 0$
C $k < 1$
D $k \leq 1$
E $\quad 0 < k < 1$ F $0 < k \leq 1$ G all real numbers

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Consider the following statement:\\
(\textit{) For all real numbers $x$, if $x < k$ then $x ^ { 2 } < k$\\
What is the complete set of values of $k$ for which (}) is true?

A no real numbers\\
B $k > 0$\\
C $k < 1$\\
D $k \leq 1$\\
E $\quad 0 < k < 1$\\
F $0 < k \leq 1$\\
G all real numbers

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20