Question

which number line shows the solution to the inequality?
$t - 6 leq - 4$

Explanation:

Step1: Solve the inequality

Add \(6\) to both sides of \(t - 6\leq - 4\).
\(t-6 + 6\leq-4 + 6\)
\(t\leq2\)

Step2: Analyze the number - line representation

The inequality \(t\leq2\) means that \(t\) can take values less than or equal to \(2\). On a number - line, this is represented by a closed circle (because the value \(t = 2\) is included) and an arrow pointing to the left (towards the smaller numbers).

Answer:

The second number line (with a closed circle at \(2\) and an arrow pointing to the left) shows the solution to the inequality \(t - 6\leq - 4\).