alleryStart learning →What is an identity, and what is its solution?
ATrue for only one value; the solution is that number
BFalse for every value; there is no solution at all
CTrue for any value; the solution is all real numbers
DWritten with two different variables inside it
Answer & Solution
Correct answer: C. True for any value; the solution is all real numbers
1. The definition names an equation true for any value of the variable an identity.
2. Since it holds for every possible value, the solution of an identity is stated as all real numbers.
3. An equation true for only one value is conditional instead, and one false for every value is a contradiction, neither of which matches this definition.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.4 Use a General Strategy to Solve Linear Equations_
Keep practising Solving Linear Equations and Inequalities
Browse all Solving Linear Equations and Inequalities questions for NY Regents Algebra I, or explore more Mathematics topics.
Related questions
Spot the broken stepOrder the equation-solving stepsSolve: -5 = (1/4)(8x + 4).Solve: a + 3/4 = (3/8)a - 1/2.Solve: 6 = (1/2)v + (2/5)v - (3/4)v.Solve: (1/6)y - 1/3 = 5/6.Classify the equation 5m + 3(9 + 3m) = 2(7m - 11), then state the solution.Classify the equation 10 + 4(p - 5) = 0, then state the solution.