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Chapter 8: Q10. (page 400)

Solve the inequality. Graph the solution.

-5y鈮�150

Short Answer

Expert verified

The solution for our given inequality would be y鈮�-30 and in interval notation -30,鈭�.

Step by step solution

01

Step 1. Given Information.

An equation: -5y鈮�150

02

Step 2. Concept used.

To solve an inequality, we use opposite operations as we use to solve an equation. When we divide or multiply both sides of an inequality by any negative number, it reverses the inequality.

03

Step 3. Calculation.

We will solve our given inequality using opposite operations as shown below:

鈭�5y鈮�150鈥�(骋颈惫别苍颈苍别辩耻补濒颈迟测)鈭�5y鈭�5鈮�150鈭�5(Dividingbothsidesby鈭�5鈥�)y鈮�鈭�30

Therefore, the solution for our given inequality would be all values of ygreater than or equal to -30. The solution of our given inequality in interval notation would be [-30,鈭�).

Since -30 is a solution of our given inequality, so we will have a solid dot at y=-30. Upon graphing solution of our given inequality, we will get:

04

Step 4. Conclusion.

The solution for our given inequality would be y鈮�-30 and in interval notation [-30,鈭�).

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Most popular questions from this chapter

Copy and complete: A relation is a(n) ? if for each input there is exactly one output.

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