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Solve for tt.\newline9 \geq t + 1 > -13\newlineWrite your answer as a compound inequality with integers.\newlineChoices:\newline(A)10 \geq t > -12\newline(B)8 \geq t > -12\newline(C)8 \geq t > -14\newline(D)10 \geq t > -14

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Q. Solve for tt.\newline9t+1>139 \geq t + 1 > -13\newlineWrite your answer as a compound inequality with integers.\newlineChoices:\newline(A)10t>1210 \geq t > -12\newline(B)8t>128 \geq t > -12\newline(C)8t>148 \geq t > -14\newline(D)10t>1410 \geq t > -14
  1. Analyze Compound Inequality: Analyze the given compound inequality.\newlineThe inequality 9 \geq t + 1 > -13 consists of two parts: 9t+19 \geq t + 1 and t + 1 > -13. To solve for tt, we need to isolate tt in both parts of the inequality.
  2. Isolate t (Part 11): Isolate t in the first part of the inequality.\newlineStarting with 9t+19 \geq t + 1, we need to subtract 11 from both sides to isolate t.\newline91t+119 - 1 \geq t + 1 - 1\newline8t8 \geq t
  3. Isolate t (Part 22): Isolate tt in the second part of the inequality.\newlineNow, we look at the second part of the inequality, t + 1 > -13. Similarly, we subtract 11 from both sides to isolate tt.\newlinet + 1 - 1 > -13 - 1\newlinet > -14
  4. Combine Results: Combine the results to form the compound inequality.\newlineWe have found that 8t8 \geq t and t > -14. Combining these gives us the compound inequality:\newline8 \geq t > -14
  5. Check Answer Choices: Check the answer choices to see which one matches our solution.\newlineThe correct answer choice should match the compound inequality 8 \geq t > -14.

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