which one equals x<5

Question

2/5 * x - 4/5 > 1 1/5

3/5 * x + 2/5 > 3 2/5

1/5 * x - 3/5 < 2/5

3/7 * x + 1/7 < 1 6/7

Answer 1

To find which equation equals x<5, substitute x=5 into each equation and check if the inequality holds true.

1) 2/5 * 5 - 4/5 > 1 1/5
2 - 4/5 > 1 1/5
1 1/5 > 1 1/5 (False)

2) 3/5 * 5 + 2/5 > 3 2/5
3 + 2/5 > 3 2/5
3 2/5 > 3 2/5 (False)

3) 1/5 * 5 - 3/5 < 2/5
1 - 3/5 < 2/5
2/5 < 2/5 (False)

4) 3/7 * 5 + 1/7 < 1 6/7
15/7 + 1/7 < 13/7
16/7 < 13/7 (True)

Therefore, the equation 3/7 * x + 1/7 < 1 6/7 equals x<5.