Question

inequality question

Answer 1

well for starters, the expression with the = sign is the graph with only 2 points plotted

and the expression with \[\le -1\] has no solution

Answer 2

what? i dont get it... what expression with \[\|e - 1 \]

Answer 3

the last expression...

\[|x-2| \le-1\]

Answer 4

absolute values are always positive

Answer 5

ummm the last expression is |x+2| _< - 1

Answer 6

ohhh right okay

Answer 7

oh sorry i thought it said -2 not positive 2, but still it cannot be less than -1

Answer 8

okay so the last one has no solution

Answer 9

correct

Answer 10

the others??

Answer 11

i'll solve the first one, then just repeat the steps to find the other answers

\[|x+4| \le2\] means that x + 4 needs to be between -2 and 2

so you get x+4 = -2 and x+4 = 2 to find your endpoints of your domain
so the domain of x is -6 to -2, which would be B

Answer 12

Modulus will always carry a + & - sign

Answer 13

for
\[|x| < n\]
can be converted to
\[x<n \]
and
\[x> -n\]