Chapter 3: Q61. (page 146)

Which inequality is equivalent to $- 18 \leq 3 p$ ?
$p \geq - 54$
$- 54 \geq p$
$p \geq - 6$
$- 6 \geq p$

Short Answer

Expert verified

The correct option is (c) & (d).

Step by step solution

Step -1 - Apply the concept of linear equations

In this type of inequality, Simply use the property of addition or subtraction 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 p

Here, the inequality is $- 18 \leq 3 p$

To solve this, simply dividing $3$ to both side of the equation

$\begin{array}{l} - 18 \leq 3 p \\ \frac{- 18}{3} \leq \frac{3 p}{3} \\ - 6 \leq p \\ p \geq - 6 \end{array}$

Step -3 – Eliminating the options to get correct one

a. $p \geq - 54$ :This is not a correct option because the solution of the inequality is $p \geq - 6$ .

b. $- 54 \geq p$ : This is not a correct option because the solution of the inequality is $p \geq - 6$ .

c. $p \geq - 6$ : This is a correct option because the solution of the inequality is $p \geq - 6$ .

d. $- 6 \geq p$ : This is also a correct option because the solution of the inequality is $p \geq - 6$ or $- 6 \geq p$ .

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Which inequality is equivalent to $- 18 \leq 3 p$ ?
$p \geq - 54$
$- 54 \geq p$
$p \geq - 6$
$- 6 \geq p$

Short Answer

Step by step solution

Step -1 - Apply the concept of linear equations

Step -2 – Find the value of p

Step -3 – Eliminating the options to get correct one

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Which inequality is equivalent to-18≤3p?p≥-54-54≥pp≥-6-6≥p

Short Answer

Step by step solution

Step -1 - Apply the concept of linear equations

Step -2 – Find the value of p

Step -3 – Eliminating the options to get correct one

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Statistics

Decision Maths

Discrete Mathematics

Logic and Functions

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Which inequality is equivalent to $- 18 \leq 3 p$ ?
$p \geq - 54$
$- 54 \geq p$
$p \geq - 6$
$- 6 \geq p$