Division by 4: 4x ≤ 12 divide both sides by 4: x ≤ 3
4x + 12 < 60
Add 4x + 2x = 6x + 4 = 6x + 4
4x + 3 cannot equal 4x + 12:4x + 3 = 4x + 12 (given)3 = 12 (subtract 4x from both sides)
8x + 12 = 4x - 4 8x - 4x = -4 - 12 4x = -16 x = -4
An inequality requires an inequality sign, usually "less than", "less-than-or-equal", "greater than", or "greater than or equal". Assuming one of these inequality signs is between the "4x" and the "12", for example: 4x < 12, just divide both sides by 4. Just as when you solve equations, the idea is to isolate the variable on one side.
Division by 4: 4x ≤ 12 divide both sides by 4: x ≤ 3
4x + 12 < 60
-4x + 2 = 6 -4x = 6 - 2 -4x = 4 x = 4 / -4 x = -1
2(4x + 4) = (4x - 12) 8x + 8 = 4x - 12 8x - 4x + 8 = 4x - 4x - 12 4x + 8 = -12 4x + 8 - 8 = -12 - 8 4x = -20 4x/4 = -20/4 x = -5
The question cannot be answered because there is no inequality there!
Add 4x + 2x = 6x + 4 = 6x + 4
2-4x is an expression - neither an equation nor an inequality. An expression does not have xy coordinates.
8
8-3x-x = 12 8-4x = 12 -4x = 12-8 -4x = 4 x = -1
4x + 3 cannot equal 4x + 12:4x + 3 = 4x + 12 (given)3 = 12 (subtract 4x from both sides)
In algebra, if the only variable (or variables) completely disappear when solving inequalities, then the solution set is infinite (any value). Example: 2x + 7 < 4x +16 solves to 4x + 14 < 4x +16 which is true for any negative or positive value since 14 < 16