Chapter 7: Q60. (page 352)

Solve the inequality $x^{2} + 2 x - 86 \geq - 23$ algebraically.

Short Answer

Expert verified

The solution for the inequality is $x \in (- \infty, - 9) \cup (7, \infty)$ .

Step by step solution

Step 1. Write down the given inequality.

The given inequality is $x^{2} + 2 x - 86 \geq - 23$ .

Step 2. Solve the given inequality.

Solving the inequality $x^{2} + 2 x - 86 \geq - 23$ by factoring it.

$\begin{matrix} x^{2} + 2 x - 86 \geq - 23 .... (Given) \\ x^{2} + 2 x - 63 \geq 0 \\ (x + 9) (x - 7) \geq 0 .... (Factoring) \\ x \leq - 9 or x \geq 7 \\ x \in (- \infty, - 9) \cup (7, \infty) \end{matrix}$

Step 3. Conclusion.

The solution for the inequality is $x \in (- \infty, - 9) \cup (7, \infty)$ .

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Solve the inequality $x^{2} + 2 x - 86 \geq - 23$ algebraically.

Short Answer

Step by step solution

Step 1. Write down the given inequality.

Step 2. Solve the given inequality.

Step 3. Conclusion.

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Solve the inequality x2+2x-86≥-23 algebraically.

Short Answer

Step by step solution

Step 1. Write down the given inequality.

Step 2. Solve the given inequality.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Calculus

Geometry

Statistics

Applied Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Solve the inequality $x^{2} + 2 x - 86 \geq - 23$ algebraically.