1003187301
Level:
A
Which equation has the solutions \( -1 \) and \( 9 \)?
\( |2x-8|=10 \)
\( |2x-10|=8 \)
\( |2x+8|=10 \)
\( |2x+10|=8 \)
Absolute value equations and inequalities
1003187306
Level:
A
Let \( |2x+6|-4=0 \). Choose the correct statement.
The equation has two solutions.
Any real value of \( x \) is a solution.
The equation has just one solution.
The equation has no solution.
1003187307
Level:
A
The solutions of the equation \( |14-4x|=4 \) are:
the numbers differing by \( 2 \).
the numbers differing by \( 1 \).
integers.
opposite numbers.
1003187308
Level:
A
Choose the equation which has only one solution.
\( 4+|2x-6|=4 \)
\( 2-|x-3|=1 \)
\( |x-3|+2=-1 \)
\( 2-|x-3|=-2 \)
1003187312
Level:
A
The solution set of an inequality in interval notation is \( (-\infty;-12]\cup[12;\infty) \). Find this inequality.
\( |x| \geq 12 \)
\( |x|\leq 12 \)
\( |x| > 12 \)
\( |x| < 12 \)
1003187406
Level:
A
How many natural numbers belong to the solution set of the inequality \( |4x-10| \leq 6 \)?
\( 4 \)
\( 2 \)
\( 3 \)
\( 0 \)
1003187407
Level:
A
Find the solution set of the inequality \( |12-6x| < 2 \).
\( \left( \frac53;\frac73 \right) \)
\( \left( -\frac73;-\frac53 \right) \)
\( \left( -\frac73;\frac53 \right) \)
\( \left( -\frac53;\frac73 \right) \)
1103187310
Level:
A
The solution set of an inequality is graphed on the number line. Determine this inequality.
\( |x+2| \leq 3 \)
\( |x-2| \leq 3 \)
\( |x-3| \leq 2 \)
\( |x+3| \leq 2 \)
1103187311
Level:
A
Which graph shows the solution set of the inequality \( |x-3| \geq 1 \)?
1103187404
Level:
A
The solution set of an inequality is graphed on the number line. Determine this inequality.
\( |4-x| > 41 \)
\( |x-3| < 42 \)
\( |x-2| > 42 \)
\( |1-x| > 43 \)