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TMUA 2022 Paper 2 Question 14
P2
·
Inequalities
·
6.0
Official · 2022 · Q14
00:00
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absolute-value
distance-interpretation
intervals
Consider the two inequalities:
∣
x
+
5∣
<
∣
x
+
11∣
∣
x
+
11∣
<
∣
x
+
1∣
Which one of the following is correct?
A
There is no real number for which both inequalities are true.
B
There is exactly one real number for which both inequalities are true.
C
The real numbers for which both inequalities are true form an interval of length
1
.
D
The real numbers for which both inequalities are true form an interval of length
2
.
E
The real numbers for which both inequalities are true form an interval of length
3
.
F
The real numbers for which both inequalities are true form an interval of length
4
.
G
The real numbers for which both inequalities are true form an interval of length
5
.
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