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What is the solution to the inequality: x^2 + 3x - 4 ≤ 0?

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Question: What is the solution to the inequality: x^2 + 3x - 4 ≤ 0?

Options:

  1. (-4, 1)
  2. (1, 4)
  3. (-1, 4)
  4. (-4, -1)

Correct Answer: (-4, 1)

Solution:

Step 1: Factor the quadratic: (x + 4)(x - 1) ≤ 0. Step 2: Critical points are x = -4 and x = 1. Step 3: Test intervals: (-∞, -4), (-4, 1), (1, ∞). The solution set is [-4, 1].

What is the solution to the inequality: x^2 + 3x - 4 ≤ 0?

Practice Questions

Q1
What is the solution to the inequality: x^2 + 3x - 4 ≤ 0?
  1. (-4, 1)
  2. (1, 4)
  3. (-1, 4)
  4. (-4, -1)

Questions & Step-by-Step Solutions

What is the solution to the inequality: x^2 + 3x - 4 ≤ 0?
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