To solve for x in the inequality 3(x-6)-4x > -3, we need to simplify and isolate the x variable.
Let's start by distributing 3 to the terms inside the parentheses:
3x - 18 - 4x > -3
Combine like terms by subtracting 4x from 3x:
-x - 18 > -3
Next, let's isolate the x variable by adding 18 to both sides of the inequality:
-x - 18 + 18 > -3 + 18
-x > 15
In order to solve for x, we need to multiply both sides of the inequality by -1. When multiplying or dividing by a negative number, the inequality sign should be flipped:
-1(-x) < 15(-1)
x < -15
Therefore, the solution to the inequality 3(x-6)-4x > -3 is x < -15.
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Part 1
Solve for x.
3(x-6)-4x>-3
1 answer
1 answer