3 + 4x > -5 = x > -2
First, subtract 3 from both sides of the equation.
3 - 3 + 4x > -5 - 3
= 4x > -8
Now, divide 4 from both sides of the equation.
= x > -2
5(2 - b) > -3(b - 3) = b < 1/2
First multiply the coefficient by the numbers/variables in the parentheses.
10 - 5b > -3b + 9
Now, add 3b to both sides and subtract 10 from both sides of the equation.
-2b > -1
Now divide -1 by -2, but in an inequality, when you divide by a negative number, the sign gets flipped. So, > will turn into <.
b < 1/2
-1.5a + 8 ≥ 17 = a ≤ 6
First, subtract 8 from both sides of the equation.
-1.5a ≥ 9
Now divide 9 by -1.5, but, again, because the number is negative, the sign gets flipped.
a ≤ 6
5w/3 ≥ 6w/4 + 11/2 = w ≥ 22
First, you need to find a common denominator or LCD. In this case, the LCD is 12. So multiply all the fractions by 12 and eliminate factors of 12.
12(5w/3) ≥ 12(6w/4) + 12(11/2)
4(5w) ≥ 3(6w) + 6(11)
20w ≥ 18w + 66
2w ≥ 66
w ≥ 22