Question

circle the equations. justify your answer.
x + 2 \t\t x + 2 = 4 \t\t x < 2 \t\t 4 = x \t\t 5 + 7 = 12

Explanation:

Step1: Define an equation

An equation is a mathematical statement that shows the equality of two expressions, using the "=" sign.

Step2: Analyze each expression

• \( x + 2 \): This is an algebraic expression, not an equation (no "=" sign).
• \( x + 2 = 4 \): This has an "=" sign, so it's an equation (shows \( x + 2 \) equals 4).
• \( x < 2 \): This is an inequality (uses "<"), not an equation.
• \( 4 = x \): This has an "=" sign, so it's an equation (shows 4 equals \( x \)).
• \( 5 + 7 = 12 \): This has an "=" sign, and \( 5 + 7 = 12 \) is a true equality, so it's an equation.

Answer:

The equations are \( \boldsymbol{x + 2 = 4} \), \( \boldsymbol{4 = x} \), and \( \boldsymbol{5 + 7 = 12} \). These should be circled as they are mathematical statements with the "=" sign showing equality.