Question

Part 1: Show the work to solve |5x – 2| 8

Part 2: Describe the graph of the solution in words.

Answer 1

is it an equation or an inequation??

Answer 2

there's something missing between the absolute value and the 8.
is it \(=\) or \(\geq\) or \(\leq\) or \(>\) or \(<\) ???

Answer 3

it wont let me put it, but it is the one you put after the =

Answer 4

\[ \large |5x-2|\geq8 \]
??

Answer 5

use this
\[ \large |a|\geq b\quad\Leftrightarrow\quad a\geq b\vee a\leq-b \]

Answer 6

im even more confused now

Answer 7

\[ \large |5x-2|\geq8 \]
becomes
\[ \large 5x-2\geq8\qquad\text{or}\qquad 5x-2\leq-8 \]

Answer 8

can u solve these two inequations???

Answer 9

i got \[x \ge 2\] and \[x \le \frac{ -6 }{ 5 }\]

Answer 10

is that correct ?

Answer 11

\[x \ge 2\] and \[x \le \frac{ -6 }{ 5 }\] are the correct answers

You can combine the two to get the compound inequality

\[\Large 2 \le x \le -\frac{6}{5}\]