Problem Solving with Inequalities
Algebra, and more...
 
1. HARD

Given \(a>b>c>d>0\), which of the following is the greatest?

  1. \(\frac{a}{d}\)
  2. \(\frac{c}{b}\)
  3. \(\frac{c}{d}\)
  4. \(\frac{a}{b}\)
  5. \(\frac{d}{a}\)
 
2. HARD

Solve \(3x^2-3 > 2x^2+2x\)

 
3. HARD

Solve \(2x-4 < 3x+7 < x+1\)

 
4. HARD

Solve \(x^4 > x^3\)

 
5. HARD

Solve \(x^4+x < x^3+x^2\)

 
6. HARD

Solve for \(x\) where \(4x < 16\) and \(-3x < -6\)