Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which of the following is not a solution of the inequality 4х2204х -2\leq-20? \newlineChoose 11 answer:\newline5-5,\newline6-6,\newline7-7,\newline4-4

Full solution

Q. Which of the following is not a solution of the inequality 4х2204х -2\leq-20? \newlineChoose 11 answer:\newline5-5,\newline6-6,\newline7-7,\newline4-4
  1. Understand Inequality Meaning: Understand the inequality 4x2204x - 2 \leq -20 and what it means to find a number that is not a solution. A number is not a solution if, when substituted for xx, it does not satisfy the inequality.
  2. Test x=5x = -5: Start by testing the first option, x=5x = -5. Substitute 5-5 into the inequality to get 4(5)2204(-5) - 2 \leq -20. Simplify the left side to get 20220-20 - 2 \leq -20.
  3. Check x=5x = -5: Check if the simplified inequality from Step 22 is true. 2220-22 \leq -20 is true, so 5-5 is a solution to the inequality. We are looking for a number that is not a solution, so 5-5 is not the correct answer.
  4. Test x=6x = -6: Test the second option, x=6x = -6. Substitute 6-6 into the inequality to get 4(6)2204(-6) - 2 \leq -20. Simplify the left side to get 24220-24 - 2 \leq -20.
  5. Check x=6x = -6: Check if the simplified inequality from Step 44 is true. 2620-26 \leq -20 is true, so 6-6 is a solution to the inequality. We are looking for a number that is not a solution, so 6-6 is not the correct answer.
  6. Test x=7x = -7: Test the third option, x=7x = -7. Substitute 7-7 into the inequality to get 4(7)2204(-7) - 2 \leq -20. Simplify the left side to get 28220-28 - 2 \leq -20.
  7. Check x=7x = -7: Check if the simplified inequality from Step 66 is true. 3020-30 \leq -20 is true, so 7-7 is a solution to the inequality. We are looking for a number that is not a solution, so 7-7 is not the correct answer.
  8. Test x=4x = -4: Test the fourth option, x=4x = -4. Substitute 4-4 into the inequality to get 4(4)2204(-4) - 2 \leq -20. Simplify the left side to get 16220-16 - 2 \leq -20.
  9. Check x=4x = -4: Check if the simplified inequality from Step 88 is true. 1820-18 \leq -20 is not true, so 4-4 is not a solution to the inequality. Therefore, 4-4 is the correct answer because it does not satisfy the inequality.

More problems from Does (x, y) satisfy the inequality?