Question

10x - 10 -7x > with line under it 3x - 2
x -8
x 8
all real numbers
no solution

Answer 1

You mean
\[10x - 10 -7x \geq 3x-2\]
and you want to find a restriction on \[x.\]
Ok well tidy up the inequality:
\[3x-10 \geq 3x-2\]
since there is a 3x on both sides, these go away to give simply:
\[-10 \geq -2\]
but this is VERY BAD because -10 < -2. So the inequality is inconsistent, and so there cannot exist an x which satisfies it. Therefore there is no solution.