[ (3x-4)/4 ] - 3 < [ (4x-5)/3 ]
2007-01-15 12:43:46 · 4 answers · asked by And you Are??? 1 in Science & Mathematics ➔ Mathematics
[ (3x - 4)/4 ] - 3 < [ (4x - 5)/3 ]
To get rid of all fractions, let's multiplying both sides by 12, which is the greatest common denominator of 4 and 3. This gives us
3(3x - 4) - 36 < 4(4x - 5)
Expand both sides,
9x - 12 - 36 < 16x - 20
Move EVERYTHING with an x-term to the left hand side, and everything else to the right hand side.
9x - 16x < 12 + 36 - 20
Simplify by grouping like terms,
-7x < 28
At this point you have to divide both sides by -7. In an inequality, whenever you multiply or divide both sides by a negative number, the sign flips. The less than sign will become a greater than sign.
x > -4
2007-01-15 12:49:01 · answer #1 · answered by Puggy 7 · 1⤊ 0⤋
x is greater than 68/7
2007-01-15 12:48:23 · answer #2 · answered by diggerml 3 · 0⤊ 2⤋
-6 is greater that -6.66 because -6 is closer to 0
2007-01-15 12:48:41 · answer #3 · answered by Angel 2 · 0⤊ 1⤋
in English please
2007-01-15 12:58:01 · answer #4 · answered by Anonymous · 0⤊ 1⤋