3(x - 2) > 4(2x + 11)
This question is unsolvable.
Andrew is incorrect
3(x - 2) > 4(2x + 11)
3x - 6 > 8x + 44
-5x > 50
x < - 10
forgot to add to above answer
Note, that the sense of the inequality,
Is reversed, by dividing both sides by -5
To solve the inequality 3(x - 2) > 4(2x + 11), we need to simplify and then isolate the variable x.
Step 1: Distribute the terms
Start by distributing the terms inside the parentheses on both sides of the inequality:
3x - 6 > 8x + 44
Step 2: Group like terms
Rearrange the equation to group the x terms on one side and the constant terms on the other side:
3x - 8x > 44 + 6
Simplifying the equation gives us:
-5x > 50
Step 3: Divide by the coefficient of x
To isolate x, divide both sides of the inequality by -5. Remember that when dividing by a negative number, the inequality sign flips.
(-5x) / -5 < (50) / -5
Simplifying gives us:
x < -10
Therefore, the solution to the inequality 3(x - 2) > 4(2x + 11) is x < -10.