Question

solve the inequality. graph the solution.
\\( \frac { k } { - 0.25 } \leq 36 \\)
the solution is \\( \square \\).

Explanation:

Step1: Multiply both sides by -0.25

When multiplying both sides of an inequality by a negative number, the direction of the inequality sign changes. So we have \(k\geq36\times(- 0.25)\)

Step2: Calculate the right - hand side

\(36\times(-0.25)=-(36\times0.25)=-9\)

Answer:

\(k\geq - 9\)

To graph the solution:

• Draw a number line.
• Place a closed circle at \(-9\) (since the inequality is \(\geq\), the value \(-9\) is included in the solution set).
• Shade the number line to the right of \(-9\) to represent all values of \(k\) that are greater than or equal to \(-9\).