Moderate -0.8 This question involves routine algebraic manipulation of a simple linear inequality and a straightforward quadratic inequality, followed by finding the intersection of solution sets. All steps are standard textbook exercises requiring only basic technique with no problem-solving insight or novel approaches needed.
3.
a) Solve the linear inequality
$$6 - 2 ( x + 2 ) < 10 .$$
b) Solve the quadratic inequality
$$( x + 1 ) ^ { 2 } \geq 4 x + 9$$
c) Hence determine the range of values of \(x\) that satisfy both the inequalities of part (a) and part (b).
3.
a) Solve the linear inequality
$$6 - 2 ( x + 2 ) < 10 .$$
b) Solve the quadratic inequality
$$( x + 1 ) ^ { 2 } \geq 4 x + 9$$
c) Hence determine the range of values of $x$ that satisfy both the inequalities of part (a) and part (b).\\
\hfill \mbox{\textit{SPS SPS SM 2021 Q3 [9]}}