Which notation best represents the phrase “at least 24”?

The phase "at least 24" denotes that the set includes 24 and all the other numbers greater than 24. This can be mathematically represented by the symbol, ≥. If we let x be the unknown number and that it should be at least 24, it becomes, x ≥ 24. 

Two solutions were found :

x = 3/2 = 1.500

x = 4

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 3 • (x - 4) • (2x - 3)  = 0

Step  2  :

Equation at the end of step  2  :

 3 • (x - 4) • (2x - 3)  = 0

Step  3  :

Theory - Roots of a product :

3.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Equations which are never true :

3.2      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

3.3      Solve  :    x-4 = 0

Add  4  to both sides of the equation :

                     x = 4

Solving a Single Variable Equation :

3.4      Solve  :    2x-3 = 0

Add  3  to both sides of the equation :

                     2x = 3

Divide both sides of the equation by 2:

                    x = 3/2 = 1.500

Two solutions were found :

x = 3/2 = 1.500

x = 4

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