Question

solve for x and graph the solution on the number line below. -3 ≥ -4 + x answer attempt 2 out of 2 < > ≤ ≥ or inequality notation: number line: click and drag to plot line. submit answer

Explanation:

Step1: Isolate the variable \(x\)

Add \(4\) to both sides of the inequality \(-3\geq - 4+x\).
Using the addition property of inequalities \(a\geq b\) implies \(a + c\geq b + c\) (here \(c = 4\)), we get \(-3+4\geq-4 + x+4\).
Simplify the left - hand side: \(1\geq x\) or \(x\leq1\).

Answer:

Inequality Notation: \(x\leq1\)

To graph \(x\leq1\) on the number line:

• Place a closed circle at \(x = 1\) (because the inequality includes equality, i.e., \(x\) can be equal to \(1\)).
• Shade the line to the left of \(1\) (since \(x\) is less than or equal to \(1\)).