To solve the inequality [tex]\( 7 + x \leq 10 \)[/tex], follow these steps:
1. Start with the given inequality:
[tex]\[
7 + x \leq 10
\][/tex]
2. Isolate the variable [tex]\( x \)[/tex]:
Subtract 7 from both sides of the inequality to get:
[tex]\[
x \leq 10 - 7
\][/tex]
3. Simplify the right side:
[tex]\[
x \leq 3
\][/tex]
Thus, the solution to the inequality [tex]\( 7 + x \leq 10 \)[/tex] is [tex]\( x \leq 3 \)[/tex].
Now, let's identify the correct choice from the given options:
A. [tex]\( x \geq 3 \)[/tex]
B. [tex]\( x \geq -3 \)[/tex]
C. [tex]\( x \leq -3 \)[/tex]
D. [tex]\( x \leq 3 \)[/tex]
The correct answer is:
D. [tex]\( x \leq 3 \)[/tex]
