Question

solve and graph the following inequality: -x/6 > -4
provide an answer accurate to the nearest tenth.
inequality:
graph:
number line options

Explanation:

Step1: Multiply both sides by -6

When multiplying or dividing an inequality by a negative number, the inequality sign flips. So, \(-\frac{x}{6}>-4\) becomes \(x < (-4)\times(-6)\).

Step2: Calculate the right - hand side

\((-4)\times(-6)=24\).

Answer:

\(x < 24\)

To graph \(x < 24\) on a number line:

• Draw a number line.
• Place an open circle at \(x = 24\) (because \(x\) is not equal to \(24\) in the inequality \(x<24\)).
• Shade the line to the left of the open circle (since \(x\) takes values less than \(24\)).