Question

question
solve the inequality and graph the
solution on the line provided.
-2 + 4x ≥ -6
answer
attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:

Explanation:

Step1: Isolate the term with \(x\)

Add \(2\) to both sides of the inequality \(-2 + 4x\geq -6\).
\(-2+4x + 2\geq -6 + 2\)
\(4x\geq -4\)

Step2: Solve for \(x\)

Divide both sides of the inequality \(4x\geq -4\) by \(4\).
\(\frac{4x}{4}\geq\frac{-4}{4}\)
\(x\geq - 1\)

Answer:

Inequality Notation: \(x\geq - 1\)

To graph on the number line:

• Draw a number line.
• Place a closed circle (because the inequality is \(\geq\)) at \(-1\).
• Shade to the right of \(-1\) (since \(x\) is greater than or equal to \(-1\)).