-7 - 4(-10t - 5) > -6t - 9 + 10t
Start by distributing the -4 to the terms inside the parentheses:
-7 + 40t + 20 > -6t - 9 + 10t
Combine like terms on each side of the inequality:
40t + 20 - 7 > 4t - 9
40t + 13 > 4t - 9
Next, move all terms containing t to one side of the inequality by subtracting 4t from both sides:
40t - 4t + 13 > -9
36t + 13 > -9
Finally, isolate t by subtracting 13 from both sides:
36t > -9 - 13
36t > -22
t > -22/36
Simplified, t > -11/18.
Solve the following inequality for tt. Write your answer in simplest form.
minus, 7, minus, 4, left bracket, minus, 10, t, minus, 5, right bracket, is greater than, minus, 6, t, minus, 9, plus, 10, t
−7−4(−10t−5)>
−6t−9+10t
1 answer