Compound Inequalities
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State
A compound inequality chains two conditions around one expression; every solving move applies to all three parts at once.
Show
−3 < 2x + 1 ≤ 7: subtract 1 and divide by 2 throughout, giving −2 < x ≤ 3 — the interval (−2, 3].
Watch for
Whatever touches the middle touches both ends.
Builds on
- Nothing — this is a starting point.
Unlocks
- Nothing yet depends on this.