Core Unit · Linear Inequalities

Don't let ≤ vs ≥
trick you again.

20 carefully designed questions targeting the most commonly confused inequality problems — from direction flips to compound traps.

⚡ Quick Memory Points — Read Before You Start
<
less than
Strictly below — does not include the value
less than or equal to
"at most" — includes the boundary
>
greater than
Strictly above — open circle on number line
greater than or equal to
"at least" — closed circle on number line
× (−)
FLIP the sign!
Multiply or divide by a negative number → reverse direction
÷ (+)
Keep the sign
Multiply or divide by a positive → direction unchanged
🧠 Super Shortcut — 3 Words LESS = left on number line  ·  GREATER = right  ·  NEGATIVE ÷ or × = always FLIP  ·  "at most N" = x ≤ N  ·  "at least N" = x ≥ N  ·  "no more than" = ≤  ·  "no less than" = ≥
0 correct
0 wrong
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