1003124208 Level: BAssuming \( -6 < x < 0 \), the expression \( \frac{|x+6|-x+6}x \) is equal to:\( \frac{12}x \)\( -\frac{12}x \)\( 2 \)\( 0 \)
1003124209 Level: BWhich of the given inequalities holds for \( x=2\pi \)?\( |x+1| > 5 \)\( |x-1| < 2 \)\( |x+3| \leq 4 \)\( |x-5| \geq 3 \)
1003124210 Level: BWhich two numbers do both satisfy the equation \( |3x-3|=9 \)?\( -2\text{, } 4 \)\( -4\text{, } 2 \)\( -5\text{, } 7 \)\( -7\text{, } 5 \)
1003187001 Level: BLet \( x\in(-\infty;-4] \). The value of the expression \( \left| |x|-4\right|-2|x-4|+|10-x| \) is equal to:\( -2 \)\( -6 \)\( 2 \)\( 6 \)
1003187003 Level: BSimplifying the expression \( |3x-9|-|9-3x|+|-3x|-|-9| \) for \( x\in[3;9] \) you get:\( 3x-9 \)\( -3x+9 \)\( 9x-27 \)\( 3x+9 \)
1003187004 Level: BLet \( x\in(-\infty;0) \). The expression \( \left|x-|x|\right| +\left|x+|x|\right|+1-x|x| \) is equal to:\( (x-1)^2 \)\( (x+1)^2 \)\( x^2+1 \)\( 1-x^2 \)
1003187104 Level: BLet \( a \) be a positive real number. Then \( |x| \leq a \)if and only if \( -a \leq x \leq a \).if and only if \( x \leq a \).if and only if \( x \geq -a \).if and only if \( x < 0 \).
1003187105 Level: BLet \( a \) be a positive real number. Then \( |x| \geq a \)if and only if \( x \geq a \) or \( x \leq -a \).if and only if \( x \geq a \).if and only if \( x \leq -a \).if and only if \( x > 0 \).
1003187304 Level: BHow many solutions does the equation \( \left| |x-4|-2\right|+2=0 \) have?\( 0 \)\( 2 \)\( 4 \)\( 6 \)
1003187405 Level: BChoose the expression which takes only negative values.\( -|2-4x|-1 \)\( |-2x-5|-2 \)\( -|2-4x|+2 \)\( |2-x|-2 \)