To determine whether the number 5 is a solution to the inequality [tex]\( x + 4 > 9 \)[/tex], let's follow these steps:
1. Substitute [tex]\( x = 5 \)[/tex] into the inequality:
[tex]\[
5 + 4 > 9
\][/tex]
2. Simplify the left-hand side of the inequality:
[tex]\[
9 > 9
\][/tex]
3. Evaluate the inequality:
The statement [tex]\( 9 > 9 \)[/tex] is not true, because 9 is not greater than 9; it is equal to 9.
Therefore, the statement that [tex]\( x = 5 \)[/tex] is a solution to the inequality [tex]\( x + 4 > 9 \)[/tex] is False.
