Solution:
Group-1:
- E. (3x < 30) ⇒ (x < 10)
- B. (2x ≤ 18) ⇒ (x ≤ 9)
- F. (3x > 15) ⇒ (x > 5)
- D. (4x < 40) ⇒ (x < 10)
- D. (2x ≥ 12) ⇒ (x ≥ 6)
Letters obtained from the above: E and D
Group-2:
- M. (4r ≤ 20) ⇒ (r ≤ 5)
- N. (4r > 64) ⇒ (r > 16)
- W. (5r ≥ 25) ⇒ (r ≥ 5)
- R. (6r ≥ 30) ⇒ (r ≥ 5)
- D. (2x ≥ 12) ⇒ (x ≥ 6)
Letters obtained from the above: W and R
Group-3:
- Q. (7n < 35) ⇒ (n < 5)
- K. (16n ≤ 32) ⇒ (n ≤ 2)
- L. (4n > 24) ⇒ (n > 6)
- L. (12n > 48) ⇒ (n > 4)
- A. (10n > 40) ⇒ (n > 4)
Letters obtained from the above: L and A
Group-4:
- L. (11t < 66) ⇒ (t < 6)
- A. (15t ≥ 75) ⇒ (t ≥ 5)
- D. (3t > 18) ⇒ (t > 6)
- E. (25t ≥ 125) ⇒ (t ≥ 5)
- E. (10n > 40) ⇒ (n > 4)
Letters obtained from the above: A and E
The name of the first original 13 colonies to ratify the U.S constitution is Delaware. To check our answer, let's cancel out the letters one by one.
Now, let's unscramble the letters to find the answer.
- E D W R L A A E ⇒ D E L A W A R E
Remove the E.
- D W R L A A E ⇒ D L A W A R E
Remove the A.
- D W R L A E ⇒ D L A W R E
Remove the A.
Remove the L.
Since they are both simliar, our answer is correct.