Directions: Using the digits 1 to 7 at most one time each, place a digit in each box to create an inequality that match the solution of the inequality on the number line.

### Hint

What might be a way to get a negative number on the right side of the inequality?

### Answer

There are many possible answers.

Some answers include:

(2/1)x + 7 > 3

(4/2)x + 7 > 3

(1/2)x + 3 > 4

(1/2)x + 5 > 6

(1/2)x + 6 > 7

(2/4)x + 5 > 6

(2/4)x + 6 > 7

(3/2)x + 4 > 1

(3/2)x + 7 > 4

(5/2)x + 6 > 1

(6/2)x + 7 > 1

(3/1)x + 7 > 1

Source: Jay Sydow

Hello! I have a question about some of the answers that were listed. Please let me know if my thinking is correct.

I figured that the constant had to be larger than the “answer” since the graph shows that the solution is x > -2.

I wonder why answers like (1/2)x + 3 > 4, (1/2)x + 6 > 7 work as you get x >2, not x > -2

(1/2)x + 3 > 4 should be (1/2)x + 4 > 3

(1/2)x + 5 > 6 should be (1/2)x + 6 > 5

(1/2)x + 6 > 7 should be (1/2)x + 7 > 6

(2/4)x + 5 > 6 should be (1/2)x + 6 > 5

(2/4)x + 6 > 7 should be (1/2)x + 3 > 4

Sorry about that. Thank you for checking that.