To solve the inequality [tex]\(2t \leq 14\)[/tex], we need to isolate the variable [tex]\(t\)[/tex].
1. Starting with the inequality:
[tex]\[
2t \leq 14
\][/tex]
2. Isolate [tex]\(t\)[/tex] by dividing both sides of the inequality by 2:
[tex]\[
\frac{2t}{2} \leq \frac{14}{2}
\][/tex]
This simplifies to:
[tex]\[
t \leq 7
\][/tex]
3. Solution:
The solution to the inequality [tex]\(2t \leq 14\)[/tex] is:
[tex]\[
t \leq 7
\][/tex]
This means that any real number [tex]\(t\)[/tex] that is less than or equal to 7 will satisfy the original inequality. Graphically, this can be represented on a number line as all points to the left of 7, including 7 itself.
