Subtract 1 from both sides: -4x > 8. Then divide by -4 (reverse the inequality): x < -2.
Solve the inequality -4x + 1 > 9.
Practice Questions
Q1
Solve the inequality -4x + 1 > 9.
x < -2
x > -2
x < 2
x > 2
Questions & Step-by-Step Solutions
Solve the inequality -4x + 1 > 9.
Correct Answer: x < -2
Step 1: Start with the inequality -4x + 1 > 9.
Step 2: Subtract 1 from both sides to isolate the term with x. This gives you -4x > 9 - 1.
Step 3: Simplify the right side: -4x > 8.
Step 4: Now, divide both sides by -4. Remember, when you divide by a negative number, you must reverse the inequality sign.
Step 5: So, you get x < -2.
Inequalities – Understanding how to manipulate and solve inequalities, including the rule of reversing the inequality sign when dividing by a negative number.
Algebraic Manipulation – Skills in performing operations such as addition, subtraction, multiplication, and division on both sides of an inequality.
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