Answer :
Translate this into symbols: 27 - 1.5x is equal to or less than 36. Find x.
Add 1.5x to both sides, so as to make the coefficient of x positive:
27 = 36 + 1.5x, or -9 = 1.5x, or x = -6 but also
x > -6
Check: let x = -6. Is the given equation then true?
27 = 36 + 1.5(-6) => -9 = -9? Yes.
Check: let x > -6. Is Twenty-seven minus 1.5 of a number (x) not more than 36? 27 - 1.5(0) not more than 36? True.
Thus, x is equal to or greater than -6.
Add 1.5x to both sides, so as to make the coefficient of x positive:
27 = 36 + 1.5x, or -9 = 1.5x, or x = -6 but also
x > -6
Check: let x = -6. Is the given equation then true?
27 = 36 + 1.5(-6) => -9 = -9? Yes.
Check: let x > -6. Is Twenty-seven minus 1.5 of a number (x) not more than 36? 27 - 1.5(0) not more than 36? True.
Thus, x is equal to or greater than -6.