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

Solve: |x| < 4
Answer: -4 < x < 4
|x| < 4 means x is within 4 units of zero: -4 < x < 4.
Solve: |x - 2| > 3
Answer: x > 5 or x < -1
|x - 2| > 3 means x - 2 > 3 or x - 2 5 or x < -1.
Which value satisfies 2x + 3 > 11?
Answer: x = 5
2x + 3 > 11 gives x > 4; only x = 5 satisfies this.
Solve: 5 - 2x < 1
Answer: x > 2
Subtract 5: -2x 2.
In interval notation, how is x ≥ -1 written?
Answer: [-1, ∞)
x ≥ -1 includes -1 (bracket) and extends to positive infinity: [-1, ∞).
A student needs at least an 80 on the final exam to pass. Which models this?
Answer: s ≥ 80
'At least 80' means 80 or higher, so s ≥ 80.