Two Step In Equalities Quiz

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The given inequality is -4(-4+x) > 56. To solve this inequality, we first distribute the -4, resulting in 16-4x > 56. Next, we subtract 16 from both sides, giving -4x > 40. To isolate x, we divide both sides by -4, but since we are dividing by a negative number, the inequality sign flips. Thus, x

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The given inequality is -b-2>8. To solve this inequality, we need to isolate the variable b. First, we can add 2 to both sides of the inequality, which gives us -b>10. Then, we multiply both sides of the inequality by -1 to flip the inequality sign, which gives us b

The given inequality is 7n-1>-169. To solve this inequality, we add 1 to both sides to isolate the variable: 7n>-168. Then, we divide both sides by 7 to solve for n: n>-24. Therefore, the correct answer is n>-24.

The given inequality is 60 > 5-5n. To solve this inequality, we need to isolate the variable n. First, we can simplify the right side of the inequality by combining like terms, which gives us 60 > -5n. Next, we can divide both sides of the inequality by -5, but we need to reverse the inequality sign since we are dividing by a negative number. This gives us -12 -11. This is incorrect, as the correct answer should be n > -12.

The given inequality is -132 > 12(n+9). To solve this inequality, we need to isolate the variable n. We can start by dividing both sides of the inequality by 12, which gives us -11 > n + 9. Next, we can subtract 9 from both sides to get -20 > n. Rearranging the inequality, we have n -20, which is incorrect. Therefore, the given answer is incorrect and the correct answer should be n

The given inequality states that 4 is greater than the quantity (a+1) divided by 2. To solve this inequality, we can multiply both sides by 2 to eliminate the fraction, resulting in 8 > a + 1. By subtracting 1 from both sides, we get 7 > a. Therefore, the correct answer is a > 7, meaning that a must be greater than 7 in order for the inequality to hold true.