Q. Which of the following is not a solution of the inequality 4х−2≤−20? Choose 1 answer:−5,−6,−7,−4
Understand Inequality Meaning: Understand the inequality 4x−2≤−20 and what it means to find a number that is not a solution. A number is not a solution if, when substituted for x, it does not satisfy the inequality.
Test x=−5: Start by testing the first option, x=−5. Substitute −5 into the inequality to get 4(−5)−2≤−20. Simplify the left side to get −20−2≤−20.
Check x=−5: Check if the simplified inequality from Step 2 is true. −22≤−20 is true, so −5 is a solution to the inequality. We are looking for a number that is not a solution, so −5 is not the correct answer.
Test x=−6: Test the second option, x=−6. Substitute −6 into the inequality to get 4(−6)−2≤−20. Simplify the left side to get −24−2≤−20.
Check x=−6: Check if the simplified inequality from Step 4 is true. −26≤−20 is true, so −6 is a solution to the inequality. We are looking for a number that is not a solution, so −6 is not the correct answer.
Test x=−7: Test the third option, x=−7. Substitute −7 into the inequality to get 4(−7)−2≤−20. Simplify the left side to get −28−2≤−20.
Check x=−7: Check if the simplified inequality from Step 6 is true. −30≤−20 is true, so −7 is a solution to the inequality. We are looking for a number that is not a solution, so −7 is not the correct answer.
Test x=−4: Test the fourth option, x=−4. Substitute −4 into the inequality to get 4(−4)−2≤−20. Simplify the left side to get −16−2≤−20.
Check x=−4: Check if the simplified inequality from Step 8 is true. −18≤−20 is not true, so −4 is not a solution to the inequality. Therefore, −4 is the correct answer because it does not satisfy the inequality.
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