How to Enter “No Solution” on DeltaMath
Quick Answer
Type No Solution with a capital N and capital S. DeltaMath also accepts DNE on many problem types. Four entries that will always be marked wrong:
no solution— lowercase failsNo Solution.— punctuation failsnoneornull— not recognized- Leaving the field blank — counts as skipped, not correct
Contents
1. Exact Entries and When to Use Each
No Solution
The standard entry for equations and systems that have no valid answer. Capital N, capital S, single space between the two words, no punctuation. This is what DeltaMath expects on linear equation contradictions, inconsistent systems of equations, and absolute value problems where the right-hand side is negative. If the problem asks you to solve and there is no value of x that makes the equation true, type No Solution.
DNE
Short for “Does Not Exist.” DeltaMath accepts DNE on many of the same problem types that accept No Solution, but it’s more commonly expected on limit problems in precalculus and calculus, and on problems asking whether a value, expression, or operation is defined. All three letters uppercase, no periods between them: DNE not D.N.E. If you’re unsure whether the problem expects No Solution or DNE, check for a formatting hint below the answer box. When there’s no hint, try No Solution first — it’s the more broadly accepted entry across algebra problem types.
Infinite Solutions
The opposite of No Solution, and a common source of confusion. Infinite Solutions means every value of x satisfies the equation — this happens when both sides of an equation simplify to the same expression (e.g. 3x + 6 = 3x + 6). Type Infinite Solutions with capitals. Do not type ∞, all real numbers, or infinitely many — none of these are accepted. Getting No Solution and Infinite Solutions mixed up is one of the most common errors on DeltaMath — see Section 3 for how to tell them apart.
The empty set symbol (ø)
Some teachers write ø on the board to represent no solution. DeltaMath does not accept this symbol as a valid answer entry. If you paste or type ø into the answer field, it will be marked wrong regardless of whether your math is correct. Always use No Solution in text form.
2. No Solution Formatting Reference Card
Four answer types students confuse on DeltaMath. Green is what the platform accepts. Red is what gets rejected.
For exponent formatting rules, see How to Type Exponents in DeltaMath.
3. Problem Types That Produce No Solution
One of the most frustrating situations on DeltaMath is not knowing whether your answer is wrong because your math is wrong, or because you should be entering “No Solution” instead of a number. The four problem types below consistently produce no solution — recognizing them saves you from chasing an answer that doesn’t exist.
Linear equation contradictions
When you simplify both sides of a linear equation and end up with a false statement like 4 = 7 or −2 = 3, the equation has no solution. The most common version: an equation where x cancels out on both sides and leaves two unequal constants. Example: 2x + 5 = 2x − 3 simplifies to 5 = −3, which is never true. The answer is No Solution. Compare this to 2x + 5 = 2x + 5, which simplifies to 5 = 5 (always true) — that’s Infinite Solutions, not No Solution.
Inconsistent systems of equations
A system of two linear equations has no solution when the lines are parallel — same slope, different y-intercepts. The lines never intersect, so there’s no (x, y) pair that satisfies both equations simultaneously. On DeltaMath, these problems often ask you to solve by substitution or elimination. When elimination produces a false constant equation (like 0 = 8), the system is inconsistent and the answer is No Solution.
Absolute value contradictions
An absolute value equation has no solution when it’s set equal to a negative number. Since absolute value always produces a non-negative result, |x + 3| = −5 is impossible regardless of what x is. DeltaMath includes these regularly in absolute value units, and students sometimes waste time trying to solve them when the correct answer is simply No Solution.
Compound inequalities with no overlap
An “and” compound inequality requires both conditions to be true simultaneously. When the two conditions are mutually exclusive — for example, x < 2 AND x > 7 — there is no value of x that satisfies both. The answer is No Solution. This is different from an “or” compound inequality, which has a solution as long as either condition is satisfied.
4. Get Help With DeltaMath
Getting marked wrong when you know the answer is No Solution?
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