Recall that inequalities can be solved the same way an equation can—you need to isolate the variable (x, in this case.) Here's a step-by-step on how to solve it:
1. Get all of the x's on one side of inequality. In this case, add 3x to both sides of the equation. This will give us:
–4x + 14 > –6
2. Now, subtract 14 from both sides of the inequality. This will give us:
–4x > –20
3. Finally, divide both sides by –4. Remember, and this is very important, that when multiplying or dividing an inequality by a negative number, you ALWAYS reverse the sign. In this case, this gives us:
x < 5
So any answer less than five, NOT including five, would work. In this case, –10, –5, 3, –3, and 0 are all solutions.
