Chapter 3: Q2. (page 146)

How solving $2 x > - 14$ is different from solving $- 2 x > 14$ ? Explain.

Short Answer

Expert verified

The solution for the inequality is $x > - 7$ .

Step by step solution

Step -1 - Apply the concept of Linear inequalities

In this type of inequality, Simply use the property of addition or subtraction or multiplication of suitable number on both Left Hand Side & Right Hand Sideto maintain the inequality and also the variable & numbers should be at the different sides in the equation.

Step -2 – Find the value of xof first inequality

Since, the equality is $2 x > - 14$ .

Here, to simplify this inequality, divide $2$ to both side on the above

$\begin{array}{l} 2 x > - 14 \\ \frac{2 x}{2} > \frac{- 14}{2} \\ x > - 7 \end{array}$

Step -3 – Find the value of x of second inequality

Since, the equality is $- 2 x > 14$ .

Here, to simplify this inequality, divide $- 2$ to both side on the above

$\begin{array}{l} - 2 x > 14 \\ \frac{- 2 x}{- 2} > \frac{14}{- 2} \\ x > - 7 \end{array}$

Here, in first to get the solution, it has to divide with $2$ and in second case, it has to divide by $- 2$ .

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How solving $2 x > - 14$ is different from solving $- 2 x > 14$ ? Explain.

Short Answer

Step by step solution

Step -1 - Apply the concept of Linear inequalities

Step -2 – Find the value of xof first inequality

Step -3 – Find the value of x of second inequality

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How solving 2x>-14 is different from solving -2x>14 ? Explain.

Short Answer

Step by step solution

Step -1 - Apply the concept of Linear inequalities

Step -2 – Find the value of xof first inequality

Step -3 – Find the value of x of second inequality

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Pure Maths

Theoretical and Mathematical Physics

Calculus

Logic and Functions

Applied Mathematics

Study anywhere. Anytime. Across all devices.

How solving $2 x > - 14$ is different from solving $- 2 x > 14$ ? Explain.