benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / Consider the following six statements:

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Consider the following six statements: 1. x<x2<x3x < x^2 < x^3 2. x<x3<x2x < x^3 < x^2 4. x2<x<x3x^2 < x < x^3 8. x2<x3<xx^2 < x^3 < x 16. x3<x<x2x^3 < x < x^2 32. x3<x2<xx^3 < x^2 < x Enter the sum of the labels of statement that hold for some value of x.x. For example, if you think the statements with labels 2 and 8 hold for some value of x,x, then enter 2+8=10.2 + 8 = 10.
Plain-text mathematical notation (without MathML)
Consider the following six statements:

1. x<x²<x³
2. x<x³<x²
4. x²<x<x³
8. x²<x³<x
16. x³<x<x²
32. x³<x²<x


Enter the sum of the labels of statement that hold for some value of x.  For example, if you think the statements with labels 2 and 8 hold for some value of x, then enter 2+8=10.
Original LaTeX notation
Consider the following six statements:

1. $x < x^2 < x^3$
2. $x < x^3 < x^2$
4. $x^2 < x < x^3$
8. $x^2 < x^3 < x$
16. $x^3 < x < x^2$
32. $x^3 < x^2 < x$


Enter the sum of the labels of statement that hold for some value of $x.$  For example, if you think the statements with labels 2 and 8 hold for some value of $x,$ then enter $2 + 8 = 10.$

level

Level 4

type

Intermediate Algebra

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
16e0af99-13d2-55a1-80e7-171b00fed00c
task_key
intermediate~5falgebra--test--16e0af99-13d2-55a1-80e7-171b00fed00c
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import