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Consider the following inequality:−3z+3>−9−3𝑧+3>−9Step 1 of 2 :  Write the solution using interval notation.

Question

Consider the following inequality:−3z+3>−9−3𝑧+3>−9Step 1 of 2 :  Write the solution using interval notation.

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Solution

To solve the inequality -3z + 3 > -9, follow these steps:

Step 1: Subtract 3 from both sides of the inequality to isolate the term with the variable on one side. This gives us -3z > -12.

Step 2: Divide both sides of the inequality by -3 to solve for z. Remember that when you divide or multiply an inequality by a negative number, the direction of the inequality sign changes. So, we get z < 4.

In interval notation, the solution to this inequality is (-∞, 4).

This problem has been solved

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