The sum of 2.15 and two-thirds a number is equal to no less than 26.89. What are all the possible values of the number? Kordell wrote the inequality 2/3 n + 2.15 greater than or equel to sign 26.89 where n equels the number, to help solve this problem. Solve his inequality.
To solve the inequality 2/3 n + 2.15 ≥ 26.89, we need to isolate the variable n.
First, we subtract 2.15 from both sides of the inequality:
2/3 n ≥ 26.89 - 2.15
2/3 n ≥ 24.74
To get rid of the fraction, we can multiply both sides of the inequality by the reciprocal of 2/3, which is 3/2. Since we are multiplying by a negative number, we also need to reverse the inequality sign:
(3/2)(2/3) n ≤ (3/2)(24.74)
n ≤ 37.11
Therefore, all possible values of the number are less than or equal to 37.11.