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Inequalities Flashcards

6 cards from real Algebra Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Inequalities flashcards as text

  1. Solve: 2x - 3 < 7

    Answer: x < 5

    Add 3 to both sides to get 2x < 10, then divide by 2 to get x < 5.

  2. What is the solution to -x ≥ 3?

    Answer: x ≤ -3

    Multiply both sides by -1 and flip: x ≤ -3.

  3. Solve the compound inequality: -1 < x + 2 < 5

    Answer: -3 < x < 3

    Subtract 2 from all three parts: -3 < x < 3.

  4. Which graph shows x ≤ -2?

    Answer: Closed circle at -2, shading left

    x ≤ -2 uses a closed circle at -2 with shading to the left.

  5. Solve: 4x + 1 ≥ 2x + 9

    Answer: x ≥ 4

    Subtract 2x to get 2x + 1 ≥ 9, subtract 1 to get 2x ≥ 8, divide to get x ≥ 4.

  6. Which inequality represents 'x is between -3 and 6, exclusive'?

    Answer: -3 < x < 6

    'Exclusive' means the endpoints are not included, so strict inequalities are used.