Question

absolute value of 3x-8 greaterthan or equal to 5 is........
two solutions

Answer 1

Just remember your absolute value rules..
\[\forall a,b \in \mathbb{R} \text{ and } b > 0,\ \ |a| > b \implies a > b \text{ or } a < -b\]

So in this case you have:
\[|3x -8| \ge 5\]

Which part of this relation is your a, and which is your b?

Answer 2

its dealing with inequalities

Answer 3

I've written inequalities..

Answer 4

Compare this:
\[|a| \ge b\]
To this:
\[|3x -8| \ge 5\]

Which part in your problem corresponds to the 'a' part and which corresponds to the 'b'?

Answer 5

a=3x-8, b=5 c= the value of x

Answer 6

There is no c..

Answer 7

then what is the value of x

Answer 8

Ok, so if a is 3x - 8 and b is 5, and

\[|a| \ge b \implies a \ge b \text{ or } a \le -b\]

So can you write your two new inequalities using that formula and your a and b?

Answer 9

ok but how

Answer 10

I just told you.

Answer 11

\[|a| \ge b\]
Implies two inequalities:
\[a \ge b\]
or
\[a \le -b\]

Answer 12

oh ok nevermind i got it

Answer 13

thank you

Answer 14

So what would your two inequalites be?