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QUESTION IMAGE

solve for ( x ) and graph the solution on the number line below. ( -1 l…

Question

solve for ( x ) and graph the solution on the number line below.

( -1 leq \frac{x}{-3} )

answer attempt 1 out of 3

inequality notation:

number line:

Explanation:

Step1: Multiply both sides by -3

When multiplying an inequality by a negative number, the inequality sign flips. So, \(-1\times(-3)\geq\frac{x}{-3}\times(-3)\)

Step2: Simplify

\(3\geq x\), which can be written as \(x\leq3\)

Answer:

Inequality Notation: \(x\leq3\)
To graph on the number line: Place a closed circle at \(3\) (because the inequality is \(\leq\)) and draw a line to the left towards \(-\infty\)