determine which equations have the same solution set as 2/3 - x + 1/6 = 6x by recognizing properties rather than solving

No intervals are showing, but here is how to solve this equation.

0.35x - 4.8 < 5.2 - 0.9x
Add 4.8 to both sides
0.35x < 10 - 0.9x
add 0.9x to both sides
1.25x < 10
divide both sides by 1.25
x < 8

Interval Notation:
If we graphed this on a number line, x goes toward negative infinity.

(-∞, 8)

Hope this helps! :)