1. Solve the inequality. Sketch the solution on a number line, then use set-builder and interval notation to describe your solution.

5x+2 <17

Number line:

Set-builder notation:

Interval notation

2. Solve the inequality. Sketch the solution on a number line, then use set-builder and interval notation to describe your solution.

7x+14 >77

Number line:

Set-builder notation:

Interval notation:

3. The three sides of a triangle are consecutive integers. If the perimeter (sum of the three sides) of the triangle is 138 meters, find the length of each side of the riangle.Define your unknowns, set up and solve an equation to answer this question). Your answers must include the unit of measure.

4. Melissa is planning to invest a total of $18,000 in two accounts. If she invests $10,000 in a CD paying 4.2% annual simple interest, at what rate does the remainder of hermoney need to be invested so that the two investments together yield at least $740 in yearly simple interest? (Define your unknowns, set up and solve an inequality to answer this question).

5.A store advertises that you can take 30% off the purchase of any item in the store. If you pay $61.60 (disregarding tax) on an item, what was the original price? (Define your unknowns, set up and solve an equation to answer this question).