1. Explain each step in solving -3x + 7 < 4x - 5
2.Write an inequality that expresses the fact that when you add 3 feet to the perimeter of a square of sides with length s, the resulting perimeter does not exceed 50 feet.
3.Write an inequality that has no solution.
4. Describe how you would solve 16 - 5w > 29 without divviding by -5 or multipling by -1/5.
5. Refer to Exercise 3. Which of the two methods seems more efficient in solving the inequaltiy for the given replacement set? Explain your selection.
Solve each inequality. Then check your solution.
6. 9x + 2 > 20
7. -4h + 7 > 15
8. 6a + 9 < -4a + 29
9. Find the solution set of the inequality givn the replacement set.
3x - 1 > 4, {-1, 0, 1, 2, 3}
10. Number Theory. Consider the sentence The sum of two consecutive even integers is greater than 75.
a. Write an inequality for this statement.
b. Solve the inequality.
c. Name two consecutive even integers that meet the requiremetns of the statement.