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Solve 1.9(2.3n+6)+10.45>43.7 then graph the solution.

User Hkhalifa
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4 votes

Answer:

1.9(2.3n+6)+10.45 > 43.7 is n > 5

Explanation:

To solve the inequality 1.9(2.3n+6)+10.45 > 43.7, you need to isolate the variable 'n'. Here's it broken down step-by-step:

1. Distribute 1.9 to both terms inside the parentheses:

1.9 * 2.3n + 1.9 * 6 + 10.45 > 43.7

4.37n + 11.4 + 10.45 > 43.7

2. Combine like terms:

4.37n + 21.85 > 43.7

3. Subtract 21.85 from both sides of the inequality to isolate the variable:

4.37n > 43.7 - 21.85

4.37n > 21.85

4. Divide both sides of the inequality by 4.37 to solve for 'n':

n > 21.85 / 4.37

n > 5

Solution graphed: Since 'n' is greater than 5, you have to represent the solution on a number line by shading everything to the right of 5. This indicates that any value of 'n' greater than 5 will satisfy the inequality.

Here's a visual representation:

-∞ 5 ➔ (shade to the right)

So, the solution to the inequality 1.9(2.3n+6)+10.45 > 43.7 is n > 5.

User LionisIAm
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