Question

how can you tell that the inequality 3x - 1 > 3x +2 has no solution just by looking at the terms in the inequality

Answer 1

same variable term on both sides

Explanation:

Given

3x - 1 > 3x + 2 ( add 1 to both sides )

3x > 3x + 3 ( subtract 3x from both sides )

0 > - 3 ← not true, thus no solution

Because the variable term was the same on both sides then it is eliminated