1003124201 Level: BWhich 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|
1003049203 Level: CIdentify which of the statements is false.∀a, b∈R:|a+b|=|a|+|b|∀a, b∈R:|a⋅b|=|a|⋅|b|∀a∈R, b∈R∖{0}:|ab|=|a||b|a∈R:|a|=|−a|
9000081406 Level: CFor x∈R find the correct relationship between |x| and |−x|.|x|=|−x||x|>|−x||x|<|−x|None of them. The answer depends on the particular value of x.
9000081407 Level: CFor x,y∈R find the correct relationship between |x−y| and |y−x|.|x−y|=|y−x||x−y|>|y−x||x−y|<|y−x|None of them. The answer depends on the particular values of x, y.
9000081408 Level: BFor x∈R− consider expressions |x|, |−x|, −|x| and −x. Which of these attains only negative values?−|x||x||−x|−x
9000081409 Level: CAmong expressions 1+|x|, |1+x|, 1−|x| and |1−x| on the set x∈(−∞;−1) find the expression which has smaller values than the other expressions from this list.1−|x|1+|x||1+x||1−x|None of them.
9000078510 Level: BAssuming x∈(6;11), simplify the following expression. 3|x−11|−2|6−x|−5x+455x−45x−45x−21