Find the solution set for the given inequality if the replacement set is {1, 2, 3, 4, 5}. 5x – 2 ≥ 8 a. {1, 2} b. {1} c. {3, 4, 5} d. {2, 3, 4, 5}

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. However, a quicker way might be just to solve the inequality. Inequalities solve the same as equations EXCEPT, if you have to multiply or divide by a negative number, you need to "flip" the inequality sign. Since I don't have a key for the sign greater than or equal to, I'll just use the greater than sign. In this case, you would first add 3 to both sides giving you 4x > 8. Dividing both sides by 4 gives you x > 2. Therefore, the solutions from the replacement set would be 2, 3, and 4. Hope I Helped! :P