2000001306
Level:
A
Evaluate the given expression.
\[\biggl|- 3\cdot 1-\lvert-2\rvert \biggr|-6\]
\(-1\)
\(-5\)
\(-3\)
\(3\)
Absolute value
2000001305
Level:
A
Evaluate the given expression.
\[|-1\cdot 0|+|-3-2|-|-1|\]
\(4\)
\(5\)
\(6\)
\(3\)
2000001304
Level:
A
Evaluate the given expression.
\[ |-2|+|3|+|(-2)\cdot 3|\]
\(11\)
\(7\)
\(-1\)
\(5\)
2000001303
Level:
A
Evaluate the given expression.
\[\biggl| |2-5| -2\cdot|3-5| \biggr|\]
\(1\)
\(7\)
\(-1\)
\(2\)
2000001302
Level:
A
Evaluate the given expression.
\[1-|-1-1|-1\]
\(-2\)
\(2\)
\(1\)
\(0\)
2000001301
Level:
A
Evaluate the given expression.
\[ |3-5| -|4-5|\]
\(1\)
\(3\)
\(-3\)
\(-1\)
2000001205
Level:
B
Find all \(x \in \mathbb{R}\) such that the given relation is true.
\[ -|x|=|-x|\]
\( x \in \{0\}\)
\( x \in [ 0; \infty) \)
\( x \in (-\infty;0] \)
\(x \in \mathbb{R} \)
No such \(x\) exists.
2000001204
Level:
B
Find all \(x \in \mathbb{R}\) such that the given relation is true.
\[- |x|=-x\]
\( x \in [ 0; \infty) \)
\( x \in (-\infty;0] \)
\(x \in \mathbb{R} \)
No such \(x\) exists.
\( x \in \{0\}\)
2000001203
Level:
B
Find all \(x \in \mathbb{R}\) such that the given relation is true.
\[ |-x|=-x\]
\( x \in (-\infty;0] \)
\( x \in [ 0; \infty) \)
\(x \in \mathbb{R} \)
No such \(x\) exists.
\( x \in \{0\}\)
2000001202
Level:
B
Find all \(x \in \mathbb{R}\) such that the given relation is true.
\[ |x|=-x\]
\( x \in (-\infty;0] \)
\( x \in [ 0; \infty) \)
\(x \in \mathbb{R} \)
No such \(x\) exists.
\( x \in \{0\}\)