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2z+3.7≥13.9−4z2𝑧+3.7≥13.9−4𝑧Step 1 of 2 :  Write the solution using interval notation.

Question

2z+3.7≥13.9−4z2𝑧+3.7≥13.9−4𝑧Step 1 of 2 :  Write the solution using interval notation.

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Solution

First, let's simplify the inequality:

2z + 3.7 ≥ 13.9 - 4z

We can start by adding 4z to both sides of the inequality to get:

2z + 4z + 3.7 ≥ 13.9

This simplifies to:

6z + 3.7 ≥ 13.9

Next, subtract 3.7 from both sides of the inequality:

6z ≥ 10.2

Finally, divide both sides by 6 to solve for z:

z ≥ 1.7

In interval notation, the solution is [1.7, ∞).

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