Problem

Question Solve the inequality $-25 z \leq 2$, and write the solution in interval notation.

Solution

Step 1 :The inequality is \(-25z \leq 2\). To solve for \(z\), we need to divide both sides of the inequality by \(-25\). However, when we divide or multiply an inequality by a negative number, the direction of the inequality sign changes. So, we should end up with \(z \geq -\frac{2}{25}\).

Step 2 :The value of \(z\) is calculated as \(-0.08\).

Step 3 :Since \(z\) is greater than or equal to \(-0.08\), the interval notation for this solution is \([-0.08, \infty)\).

Step 4 :Final Answer: The solution to the inequality \(-25z \leq 2\) in interval notation is \(\boxed{[-0.08, \infty)}\).

From Solvely APP
Source: https://solvelyapp.com/problems/r4YrLE6k0r/

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