Question

Solve for t.
0.1 − 2t ≥ 0.7
A. t ≥ −0.4
B. t ≤ −0.4
C. t ≤ −0.3
D. t ≥ −0.3

Answer 1

To solve the inequality 0.1 - 2t >= 0.7 for t, we subtract 0.1 from both sides, divide by -2, and reverse the inequality sign, leading to t <= 0.3. Thus, the correct answer is C. t <= -0.3.

Step-by-step explanation:

To solve for t in the inequality 0.1 − 2t ≥ 0.7, we first move all terms involving t to one side and constants to the other side to isolate t.

1. Subtract 0.1 from both sides:

-2t ≥ 0.7 - 0.1

-2t ≥ 0.6

2. Divide both sides by -2 (remember that dividing by a negative number reverses the inequality sign):

t ≤ -0.6 / -2

t ≤ 0.3

From these steps, the solution is: t ≤ 0.3. Therefore, the correct answer is C. t ≤ -0.3.