Question

Solve the compound inequalitie:

0 ≤ 4 + 2x ≤ 22

Answer 1

i have to substract -4 from both sides, right ?

Answer 2

you subtract 4 from all 3 pieces

Answer 3

yes, from all the sides

Answer 4

and then divide by two in all sides ?

Answer 5

yes

Answer 6

correct

Answer 7

\[-4+0\le -4+4+2x \le22-4\]

Answer 8

yes then combine like terms

Answer 9

\[-4\le2x \le18\]

Answer 10

yup, then divide by 2

Answer 11

\[\frac{ -4 }{ 2 }\le \frac{ 2x }{ 2}\le \frac{ 18 }{ 2 }\]

Answer 12

\[-2\le x \le 9\]

Answer 13

when the signs switch?

Answer 14

the sings switch only when dividing or multiplying by a negative number

Answer 15

because the 2 is not negative, the sings don't switch

Answer 16

so that is the right answer, good job

Answer 17

is this the interval notation ?

Answer 18

correct

Answer 19

what kind of solution is this ?
union,
intersection,
and,
or,

Answer 20

i guess is a compound inequality...

Answer 21

help me out please !

Answer 22

im not sure on that part sorry