Question

1. graph the inequality on the number line: - 9 ≤ x
2. solve the basic equation and graph its solution set on the number line: 7x < 56

Explanation:

Step1: Solve the first inequality

The inequality is $-9\leq x$, which means $x$ is greater than or equal to $- 9$. On the number - line, we use a closed circle at $-9$ (because the inequality includes equality) and draw an arrow to the right to represent all the values of $x$ that satisfy the inequality.

Step2: Solve the second inequality

Given $7x<56$. Divide both sides of the inequality by 7. We get $x < 8$ (since $\frac{7x}{7}<\frac{56}{7}$). On the number - line, we use an open circle at 8 (because the inequality is strict, $x$ cannot equal 8) and draw an arrow to the left to represent all the values of $x$ that satisfy the inequality.

Answer:

For $-9\leq x$, graph with a closed circle at $-9$ and an arrow to the right. For $7x < 56$ (or $x < 8$), graph with an open circle at 8 and an arrow to the left.