## Examples of *Prove* in a sentence

William Broad and David Sanger, “Relying On Computer, U.S. Seeks to **Prove** Iran’s Nuclear Aims,” New York Times, November 13, 2005.

**Prove** by induction that 2np5 ; n ≤ 1:Z1—yn.1 y/r0 nŠ dy D .r C 1/.r C 2/ · · · .r C n C 1/ !≤ ≤if n is a nonnegative integer and r > —1.

Solve systems of equationsA-REI.5 **Prove** that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.A-REI.6 Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

Therefore, Pn is true for all n ≤ 2, by Theorem 1.2.3. 1.2 Exercises **Prove** the assertions in Exercises 1.2.1–1.2.6 by induction.

**Prove** that there is a unique real number ˇ such that every real number less than ˇ is in S and every real number greater than ˇ is in T .