Question

Examine the equation. 4(x – 3) = 4x – 12 Which of the following is true? (Check all that apply.)

It is a true statement.

Any input will result in an equivalent equation

It is equivalent to an equation of the form a = a.

It has no solution.

Only one input will result in a true statement.

Answer 1

It is a true statement;

Any input will result in an equivalent equation;

It is equivalent to an equation of the form a = a.

Explanation:

Answer 2

It is a true statement;

Any input will result in an equivalent equation;

It is equivalent to an equation of the form a = a.

Explanation:

`4(x-3)=4x-12`

This equation has infinitely many solutions. Since any value for x on the left side and on the right side makes a valid equality. Equations like that have uncountable elements in their solution set, for x may assume infinite values.

In other words, that is to say:

It is a true statement;

Any input will result in an equivalent equation;

It is equivalent to an equation of the form a = a.