Question

|2t + 2/3| <_ 4

Answer 1

In general, if |x| < 4, say, then
\[ -4 < x < 4 \]

Answer 2

Hence in this case you have
\[ -4 \leq 2t + 2/3 \leq 4 \]
Now solve.

Answer 3

does the <_ mean less than or equal? or only less than?

Answer 4

\[\le\] :) ^

Answer 5

ah, cool! Then JamesJ's help is correct

Answer 6

you add 4 to both sides? @JamesJ

Answer 7

You're solving for t. So the first step now is to subtract 2/3 from all "three sides"

Answer 8

...all three expressions

Answer 9

now i got..

Answer 10

\[ −4≤2t+2/3≤4 \]
implies
\[ −4 - 2/3 ≤ 2t ≤4 - 2/3 \]

Answer 11

\[-14/3 \le 2t \le 10/3\]

Answer 12

correct

Answer 13

that's all? :)

Answer 14

No, you're solving for t.

Answer 15

divided by 2?

Answer 16

t should stand alone in the middle, yes

Answer 17

You want an expression or set of expressions that tell you on what intervals t satisfies this expression.

Answer 18

\[-7/3 \le t \le 5/3 \]