Math Pro
about
qns
questions
progress
Question 0107a
Equations and Inequalities
2007 Paper 1 Question 1 Variant
Question
Generate new
Show that
−
x
2
+
6
x
−
33
x
2
−
7
x
+
12
+
2
=
x
2
−
8
x
−
9
x
2
−
7
x
+
12
.
\frac{ - x^2 + 6 x - 33 }{ x^2 - 7 x + 12 } + 2=\frac{ x^2 - 8 x - 9 }{ x^2 - 7 x + 12 }.
x
2
−
7
x
+
12
−
x
2
+
6
x
−
33
+
2
=
x
2
−
7
x
+
12
x
2
−
8
x
−
9
.
Hence, without using a calculator, solve the inequality
−
x
2
+
6
x
−
33
x
2
−
7
x
+
12
<
−
2
\frac{ - x^2 + 6 x - 33 }{ x^2 - 7 x + 12 } < -2
x
2
−
7
x
+
12
−
x
2
+
6
x
−
33
<
−
2
[5]
Answer
Back to top ▲
about
questions
progress