Q. Which of the following is not a solution of the inequality −8<7−5x ?Choose 1 answer:(A) 0(B) 1(C) 2(D) 3
Understand the inequality: Understand the inequality -8 < 7 - 5x and what it means to find a solution that does not satisfy it. A solution that does not satisfy the inequality will make the inequality false when substituted for x.
Test each option: Test each option by substituting the value of x into the inequality and checking if the inequality holds true.
Substitute x=0: Substitute x=0 into the inequality to get -8 < 7 - 5(0). Simplify the right side to get -8 < 7. Since −8 is less than 7, the inequality holds true, so x=0 is not the answer we are looking for.
Substitute x=1: Substitute x=1 into the inequality to get -8 < 7 - 5(1). Simplify the right side to get -8 < 2. Since −8 is less than 2, the inequality holds true, so x=1 is not the answer we are looking for.
Substitute x=2: Substitute x=2 into the inequality to get -8 < 7 - 5(2). Simplify the right side to get -8 < -3. Since −8 is less than −3, the inequality holds true, so x=2 is not the answer we are looking for.
Substitute x=3: Substitute x=3 into the inequality to get -8 < 7 - 5(3). Simplify the right side to get -8 < -8. Since −8 is not less than −8, the inequality does not hold true, so x=3 is the answer we are looking for.