Find all values of 
such that 
.
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+23254 Rewrite as: 8t² + 10t - 3 ≤ 0
Factor: (4t - 1)(2t + 3) ≤ 0
Solving for t: t = 1/4 or t = -3/2
These two point divide the number line into three sections: t ≤ -3/2 -3/2 ≤ t ≤ 1/4 t ≥ 1/4
Try a number that is less than -3/2, say -2: 8(-2)² + 10(-2) - 3 = 9 --> this section doesn't work!
Try a number between -3/2 and 1/2, say 0: 8(0)² + 10(0) - 3 = -3 --> this section works!
Try a number greater than 1/4, say 2: 8(2)² + 10(2) - 3 = 49 --> this section doesn't work!
The only region that works is: -3/2 ≤ t ≤ 1/4 ---> [-3/2, 1/4]
+23254 Rewrite as: 8t² + 10t - 3 ≤ 0
Factor: (4t - 1)(2t + 3) ≤ 0
Solving for t: t = 1/4 or t = -3/2
These two point divide the number line into three sections: t ≤ -3/2 -3/2 ≤ t ≤ 1/4 t ≥ 1/4
Try a number that is less than -3/2, say -2: 8(-2)² + 10(-2) - 3 = 9 --> this section doesn't work!
Try a number between -3/2 and 1/2, say 0: 8(0)² + 10(0) - 3 = -3 --> this section works!
Try a number greater than 1/4, say 2: 8(2)² + 10(2) - 3 = 49 --> this section doesn't work!
The only region that works is: -3/2 ≤ t ≤ 1/4 ---> [-3/2, 1/4]
