1003124209
Level:
B
Which of the given inequalities holds for \( x=2\pi \)?
\( |x+1| > 5 \)
\( |x-1| < 2 \)
\( |x+3| \leq 4 \)
\( |x-5| \geq 3 \)
B
1003124208
Level:
B
Assuming \( -6 < x < 0 \), the expression \( \frac{|x+6|-x+6}x \) is equal to:
\( \frac{12}x \)
\( -\frac{12}x \)
\( 2 \)
\( 0 \)
1003124207
Level:
B
On the real number line, the distance of a number \( x \) from the number \( -4 \) is given by:
\( |x+4| \)
\( |x-4| \)
\( |4x| \)
\( |x|+4 \)
1003124205
Level:
B
Assuming \( x\in(4;7) \), the expression \( |x-4|-|x-7| \) can be written in the form:
\( 2x-11 \)
\( -2x+11 \)
\( 3 \)
\( -11 \)
1003124204
Level:
B
Let \( x\neq0 \). Complete the following sentence to get a true statement. The solution set of the inequality \( \frac{|x|}x>2 \)
does not contain any integer.
contains \( 2 \) integers.
contains only natural numbers.
contains infinitely many integers.
1003124203
Level:
B
Assuming \( x < 0 \), the expression \( \bigl| |x|+2 \bigr| \) is equal to:
\( -x+2 \)
\( x+2 \)
\( -x-2 \)
\( x-2 \)
1003124201
Level:
B
Which equation describes real numbers \( x \) that are equidistant from the numbers \( 6 \) and \( -3 \) on the number line?
\( |x-6|=|x+3| \)
\( |x+6|=|x+3| \)
\( |x-6|=|x-3| \)
\( |x+6|=|x-3| \)
1003099410
Level:
B
The value of the multiplicative inverse of \( \left[ 2^{-2}+\left( \frac16 \right)^{-1} \right]^{\frac12} \) is:
\( \frac25 \)
\( \frac12+\sqrt6 \)
\( \frac4{25} \)
\( \frac52 \)
1003099409
Level:
B
Simplifying \( \left( \frac1{\left( \sqrt[3]{729}+\sqrt[4]{256}+2 \right)^0} \right)^{-2} \) we get:
\( 1 \)
\( \frac1{15} \)
\( \frac1{225} \)
\( 15 \)
1003099408
Level:
B
The value of the expression \( \frac12\cdot\left[\frac{5\cdot\left(0.2+\frac35\right)^2}{3.2}\right]+\frac13 \) is:
\( \frac56 \)
\( \frac32 \)
\( \frac43 \)
\( \frac52 \)