solve the inequality. check your solutions. 6t + 7 25
To solve the inequality 6t + 7 < 25, we need to isolate the variable t on one side of the inequality sign.
First, we subtract 7 from both sides of the inequality:
6t + 7 - 7 < 25 - 7
Simplifying:
6t < 18
Next, we divide both sides of the inequality by 6:
6t/6 < 18/6
Simplifying:
t < 3
Therefore, the solution to the inequality 6t + 7 < 25 is t < 3.
To check this solution, we can choose a value for t that is less than 3 and plug it into the inequality:
When t = 2:
6t + 7 = 6(2) + 7 = 19
19 < 25 is true, so t = 2 is a valid solution.
We can also choose a value for t that is greater than or equal to 3 and plug it into the inequality:
When t = 3:
6t + 7 = 6(3) + 7 = 25
25 < 25 is false, so t = 3 is not a valid solution.
Therefore, the solution t < 3 is the correct solution to the inequality 6t + 7 < 25.