Which of the following values are solutions to the inequality 4

Question

Which of the following values are solutions to the inequality  4 < x-2 ?  {:[" I. "1," II. "3," III. "6]:} None I only II only III only I and II I and III II and III I, II and III

Bytelearn · Accepted Answer

Understand Inequality: Understand the inequality and what it is asking. The inequality 4 < x - 2 is asking for the values of x that make the statement true when substituted into the inequality.Add 2 to Solve: Add 2 to both sides of the inequality to solve for x. 4 < x - 2 4 + 2 < x - 2 + 2 6 < x This means that any value of x that is greater than 6 will satisfy the inequality.Test Value 1: Test the first value, I. ＂1＂. Substitute x with 1 into the inequality 6 < x. 6 < 1 This is not true, so I. ＂1＂ is not a solution to the inequality.Test Value 2: Test the second value, II. ＂3＂. Substitute x with 3 into the inequality 6 < x. 6 < 3 This is not true, so II. ＂3＂ is not a solution to the inequality.Test Value 3: Test the third value, III. ＂6＂. Substitute x with 6 into the inequality 6 < x. 6 < 6 This is not true because the inequality is strict (it does not include the value 6 itself), so III. ＂6＂ is not a solution to the inequality.Determine Solutions: Determine which of the given values are solutions to the inequality. From the previous steps, we have determined that none of the values I. ＂1＂, II. ＂3＂, or III. ＂6＂ are greater than 6. Therefore, none of these values are solutions to the inequality 4 < x - 2.

Which of the following values are solutions to the inequality \( 4

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