2x – 5 > 11 is an equation.
Why the statement is False:
Equations always use the equals sign “=” and say that two sides are the same.
Example of an equation: \(2x - 5 = 11\)
Inequalities use signs like “\(>\)”, “\(<\)”, “\(\ge\)”, or “\(\le\)”. They compare two sides but do not say they are equal.
Given statement: \(2x - 5 > 11\) — this uses “\(>\)”, so it is an inequality, not an equation.
Quick contrast (optional):
If it were an equation, it would be: \(2x - 5 = 11\)
Solving that would give one exact value:
\(2x - 5 = 11\)
\(2x = 11 + 5\)
\(2x = 16\)
\(x = 8\)
But our actual statement is an inequality:
\(2x - 5 > 11\)
\(2x > 11 + 5\)
\(2x > 16\)
\(x > 8\)
Conclusion: Because it uses “\(>\)” instead of “\(=\)”, \(2x - 5 > 11\) is an inequality, not an equation. Therefore, the statement “2x – 5 > 11 is an equation” is false.