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Part 1
Solve the inequality. Check your solutions.
9t +2≤29
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Part 1
The solution is t
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greater than or equals≥
less than<
greater than>
less than or equals≤
enter your response here.
(Simplify your answer.)
The solution is t ≤ 3.
To solve the inequality 9t + 2 ≤ 29, we need to isolate the variable t.
Step 1: Subtract 2 from both sides of the inequality:
9t + 2 - 2 ≤ 29 - 2
9t ≤ 27
Step 2: Divide both sides of the inequality by 9:
(9t)/9 ≤ 27/9
t ≤ 3
Therefore, the solution to the inequality is t ≤ 3.
To check our solution, we substitute the value of t back into the original inequality:
9(3) + 2 ≤ 29
27 + 2 ≤ 29
29 ≤ 29
Since 29 is equal to 29, the inequality holds true.
So, the solution to the inequality 9t + 2 ≤ 29 is t ≤ 3.
To solve the inequality 9t + 2 ≤ 29, you can follow these steps:
Step 1: Subtract 2 from both sides of the inequality:
9t + 2 - 2 ≤ 29 - 2
This simplifies to 9t ≤ 27.
Step 2: Divide both sides of the inequality by 9 to isolate the variable t:
(9t)/9 ≤ 27/9
This simplifies to t ≤ 3.
So the solution to the inequality is t ≤ 3.
To check if this solution is correct, you can substitute the value of t into the original inequality and see if it holds true.
Let's try t = 3:
9t + 2 ≤ 29
9(3) + 2 ≤ 29
27 + 2 ≤ 29
29 ≤ 29
The inequality holds true with t = 3, so the solution is correct.