3/4(5x - 1/2) -5/3 < 1/3
There is no way I will ever understand this!!! Help!!!
Start by adding 5/3 to both sides. You should get 3/4(5x - 1/2) < 2. Multiply both sides by 4/3 (the same as dividing by 3/4), to get 5x-1/2 < 8/3. Add 1/2 to both sides, and get 5x < 19/6. Divide both sides by 5, and get x < 19/30.
3/4(5x - 1/2) - 5/3 < 1/3
add (5/3) to both sides
3/4(5x - 1/2) < 2
multiply both sides with 4
3(5x - 1/2) < 8
15x - 3/2 < 8
add 3/2 to both sides
15x < 19/2
divide both sides by 15
x < 19/30
3/4 (5x - 1/2) - 5/3 < 1/3
3/4 * 5x - 3/4 * 1/2 -5/3 < 1/3
15x/4 - 3/8 - 5/3 < 1/3
15x/4 - 49/24 < 1/3
Adding 49/24 to both sides gives
15x/4 < 1/3 + 49/24
15x/4 < 57/24
15x/4 < 19/8
Multiplying both sides by 4/15
x < 19/8 * 4/15
Comments
Start by adding 5/3 to both sides. You should get 3/4(5x - 1/2) < 2. Multiply both sides by 4/3 (the same as dividing by 3/4), to get 5x-1/2 < 8/3. Add 1/2 to both sides, and get 5x < 19/6. Divide both sides by 5, and get x < 19/30.
3/4(5x - 1/2) - 5/3 < 1/3
add (5/3) to both sides
3/4(5x - 1/2) < 2
multiply both sides with 4
3(5x - 1/2) < 8
15x - 3/2 < 8
add 3/2 to both sides
15x < 19/2
divide both sides by 15
x < 19/30
3/4 (5x - 1/2) - 5/3 < 1/3
3/4 * 5x - 3/4 * 1/2 -5/3 < 1/3
15x/4 - 3/8 - 5/3 < 1/3
15x/4 - 49/24 < 1/3
Adding 49/24 to both sides gives
15x/4 < 1/3 + 49/24
15x/4 < 57/24
15x/4 < 19/8
Multiplying both sides by 4/15
x < 19/8 * 4/15
x < 19/30