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Which inequality is equivalent to-18≤3p?

  1. p≥-54
  2. -54≥p
  3. p≥-6
  4. -6≥p

Short Answer

Expert verified

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

Step by step solution

01

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.

02

Step -2 – Find the value of p

Here, the inequality is -18≤3p

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

−18≤3p−183≤3p3−6≤pp≥−6

03

Step -3 – Eliminating the options to get correct one

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

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

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

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

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