What is the solution to the inequality: 2(x - 1) > 3(x + 2)?
Practice Questions
Q1
What is the solution to the inequality: 2(x - 1) > 3(x + 2)?
x < -1
x > -1
x < 1
x > 1
Questions & Step-by-Step Solutions
What is the solution to the inequality: 2(x - 1) > 3(x + 2)?
Step 1: Distribute the numbers outside the parentheses. Multiply 2 by (x - 1) and 3 by (x + 2). This gives you: 2x - 2 > 3x + 6.
Step 2: Rearrange the inequality to get all the x terms on one side and the constant terms on the other side. Subtract 3x from both sides: 2x - 3x - 2 > 6. This simplifies to: -x - 2 > 6. Then, add 2 to both sides: -x > 8.
Step 3: Divide both sides by -1 to solve for x. Remember, when you divide by a negative number, you must reverse the inequality sign. This gives you: x < -8.
