Question

Jack solved the following inequality incorrectly. Find Jack's mistake(s) and write a note to help him solve the inequality correctly. Jack's Solution: 1 - 2x < 11 Corrected Inequality: 1 - 2x < 11

Answer 1

The corrected inequality is x > -5. Jack might have forgotten to reverse the inequality symbol when dividing by the negative number -2, a common mistake when solving inequalities.

Step-by-step explanation:

Jack's mistake when solving the inequality 1 - 2x < 11 isn't provided in the question, but let's solve the inequality step by step.

• Subtract 1 from both sides of the inequality: -2x < 10.
• Divide both sides of the inequality by -2, and remember to reverse the inequality sign when dividing by a negative number: x > -5.

Remember that when you divide both sides of an inequality by a negative number, the direction of the inequality changes. That is a common mistake when solving inequalities. The corrected inequality should be x > -5.