Question

|(2x)/(7)-5|≥7
absolute value

Answer 1

\[\frac{ 2x-35 }{ 7 }\ge7\]\[2x-35\ge49=2x \ge84=x \ge42\]

Answer 2

deena its 2 root,x≥42 or x?

Answer 3

-7 ≥ (2x/7)-5 ≥ 7
-7+5 ≥ 2x/7 ≥7+5
(-2)(7) ≥ 2x ≥ (12)(7)
-14 ≥ 2x ≥ 84
-14/2 ≥ x ≥ 84/2
=-7 ≥ x ≥ 42

Answer 4

chooper,the 1st step what did you do?

Answer 5

that is how you should solve absolute values. put the 7 side by side.
-7 ≥ (2x/7)-5 ≥ 7
one the left side, 7 will become negative because it was transposed. and then, at the right side, it will be the same as the given equation.

Answer 6

then transpose -5 to the two sides of the equation. then solve.
it's just like solving a simple equation. You can also solve it separately.

Answer 7

good,tnx