MATH 1310 Introduction to College Math - Milestone 2

What is the solution set for the following inequality? x + 6 15 − 2x RATIONALE The inequality To solve the inequality, you need to move the variable x to one side. To do this, first add 2x to both sides. Next, subtract 6 from both sides. Finally, divide both sides by 3. Since the inequality was NOT multiplied or divided by a negative number, the inequality symbol stays the same. Report an issue with this question Shiri has a debt of $375 to pay off with no interest added. If she pays $25 each week, how long will it take her to pay back the loan? The equation can be written as: y = -25x + 375 Solve the problem by solving for the x-intercept. RATIONALE Remember that the x-intercept is where the line crosses the x-axis, so the y-coordinate of the x-intercept is always 0. To find the x-coordinate of the x-intercept, substitute 0 for y in the equation. The equation Substitute 0 for y. Subtract 375 from both sides to isolate the x. Divide by -25.      x ‐3  x 3  x 3  x ‐3  12 weeks  20 weeks  18 weeks  15 weeks UNIT 2 — MILESTONE 2 SCORE 17/18  Problem Solving using the X-Intercept 3 CONCEPT  Compound Inequalities 4 CONCEPT  Finding a Slope