Question

question
solve for x and graph the solution on the number line below.
4 < x - 1
answer
inequality notation:
number line:

Explanation:

Step1: Isolate the variable \(x\)

Add \(1\) to both sides of the inequality \(4 < x - 1\).
$$4+1

Step2: Simplify the inequality

Simplify the left - hand side \(4 + 1=5\) and the right - hand side \(x-1 + 1=x\). So the inequality becomes \(5 5\).

Answer:

Inequality Notation: \(x>5\)

To graph \(x > 5\) on the number line:

• Draw an open circle at \(x = 5\) (because \(5\) is not included in the solution set, since the inequality is \(>\) not \(\geq\)).
• Draw an arrow to the right of \(5\) to represent all the values of \(x\) that are greater than \(5\).