# publicKhan/khan-exercises

### Subversion checkout URL

You can clone with HTTPS or Subversion.

Fetching contributors…

Cannot retrieve contributors at this time

file 70 lines (65 sloc) 2.855 kb
 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 ` Linear inequalities
randRange( 2, 10 ) randRangeNonZero( -10, 10 ) randRange( 2, 10 ) randRangeNonZero( 2, 10 ) fractionReduce( D - B, A - C ) randFromArray([ "<", ">", "≤", "≥" ]) { "<": ">", ">": "<", "≤": "≥", "≥": "≤" }[ REL ]

Solve for x:

Ax + B REL Cx + D

x A - C > 0 ? REL : FREL ( D - B ) / ( A - C )

Subtract Cx from both sides:

(Ax + B) - Cx REL (Cx + D) - Cx

A - Cx + B REL D

B > 0 ? "Subtract" : "Add" abs(B) B > 0 ? "from" : "to" both sides:

(A - Cx + B) + -B REL D + -B

A - Cx REL D - B

Divide both sides by A - C. Because A - C is positive, the inequality sign REL should not be flipped.

\dfrac{A - Cx}{A - C} REL \dfrac{D - B}{A - C}

Simplify.

x REL SOLUTION

Divide both sides by A - C. Because A - C is negative, the inequality sign REL must be flipped to FREL.

\dfrac{A - Cx}{A - C} FREL \dfrac{D - B}{A - C}

Simplify.

x FREL SOLUTION

`
Something went wrong with that request. Please try again.