Problem

Question Show Examples Select the values that make the inequality $6 z<12$ true. Then write an equivalent inequality, in terms of $z$. (Numbers written in order from least to greatest going across.) Answer Attempt 1 out of 2 $-8$ $-3$ $-1$ 1 2 3 5 7 12 Equivalent Inequality: $z$ Submit Answer

Solution

Step 1 :The question is asking for the values of z that satisfy the inequality 6z < 12. To find these values, we need to solve the inequality for z.

Step 2 :After solving the inequality, we get z < 2.0.

Step 3 :Next, we need to check which of the given values satisfy the inequality. The given values are -8, -3, -1, 1, 2, 3, 5, 7, 12.

Step 4 :The values that satisfy the inequality z < 2.0 are -8, -3, -1, and 1.

Step 5 :Final Answer: The values that satisfy the inequality \(6z < 12\) are \(\boxed{-8, -3, -1, 1}\). The equivalent inequality in terms of \(z\) is \(\boxed{z < 2}\).

From Solvely APP
Source: https://solvelyapp.com/problems/ARLR00ss36/

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