Questions: For each value of x, determine whether it is a solution to 36 > 25 + x. x Is it a solution? Yes No --------- 9 6 14 11

For each value of x, determine whether it is a solution to 36 > 25 + x.

x  Is it a solution? Yes  No
---------
9    
6    
14    
11
Transcript text: For each value of $x$, determine whether it is a solution to $36>25+x$. \begin{tabular}{|c|c|c|} \hline \multirow{2}{*}{$x$} & \multicolumn{2}{|c|}{ Is it a solution? } \\ \cline { 2 - 3 } & Yes & No \\ \hline 9 & $\bigcirc$ & $\bigcirc$ \\ \hline 6 & $\bigcirc$ & $\bigcirc$ \\ \hline 14 & $\bigcirc$ & $\bigcirc$ \\ \hline 11 & $\bigcirc$ & $\bigcirc$ \\ \hline \end{tabular}
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Solution

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Solution Steps

To determine whether each value of x x is a solution to the inequality 36>25+x 36 > 25 + x , we need to check if substituting each value of x x into the inequality results in a true statement. If the inequality holds true, then the value is a solution; otherwise, it is not.

Step 1: Set Up the Inequality

We are given the inequality 36>25+x 36 > 25 + x . We need to determine if each value of x x satisfies this inequality.

Step 2: Substitute Each Value of x x

Substitute each given value of x x into the inequality and check if the inequality holds true.

  1. For x=9 x = 9 : 36>25+9    36>34 36 > 25 + 9 \implies 36 > 34 This is true.

  2. For x=6 x = 6 : 36>25+6    36>31 36 > 25 + 6 \implies 36 > 31 This is true.

  3. For x=14 x = 14 : 36>25+14    36>39 36 > 25 + 14 \implies 36 > 39 This is false.

  4. For x=11 x = 11 : 36>25+11    36>36 36 > 25 + 11 \implies 36 > 36 This is false.

Final Answer

  • For x=9 x = 9 , the inequality is true: Yes\boxed{\text{Yes}}
  • For x=6 x = 6 , the inequality is true: Yes\boxed{\text{Yes}}
  • For x=14 x = 14 , the inequality is false: No\boxed{\text{No}}
  • For x=11 x = 11 , the inequality is false: No\boxed{\text{No}}
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