Answer: D) 11
Explanation:
Manipulate the "middle" section of the inequality to match 4r + 3:
-6 < -4r + 10 ≤ 2
multiply by -1 (which changes the direction of the inequality symbols):
6 > 4r - 10 ≥ -2
add 13 to all three sides:
6 + 13 > 4r - 10 + 13 ≥ -2 + 13
19 > 4r + 3 ≥ 11
Thus, 4r + 3 is between 11 and 19 (including 11)
so the least possible value of 4r + 3 is 11