Question

Find the solution set for the given inequality if the replacement set for x is the set {1, 2, 3, 4}. 4x – 3 ≥ 5

a. {1, 2}
b. {1, 2, 3, 4}
c. {2, 3, 4}
d. {3, 4}

Answer 1

Considering your replacement set is only 4 numbers, you could solve this problem through substitution. One at a time substitute the values of the replacement set into the inequality and record which ones yield a true statement. To solve this inequality, you must multiply/divide by flipping the sides of the inequality and the sign itself. In this case, you would first add 3 to both sides giving you 4x > 8. Dividing both sides by 4 gives you x > 2. The solutions from the replacement set would be 2, 3, and 4.