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

-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.
Similar Questions
  1. Solve the following inequality for zz. Write your answer in simplest form.minus, 6, minus, 2, left bracket, minus, 7, z, minus,
    1. answers icon 1 answer
  2. Solve the following inequality for ff. Write your answer in simplest form.8, minus, left bracket, minus, 4, f, minus, 3, right
    1. answers icon 1 answer
  3. Solve the following inequality for cc. Write your answer in simplest form.minus, 7, c, minus, left bracket, 2, c, plus, 2, right
    1. answers icon 1 answer
  4. Solve the following inequality for cc. Write your answer in simplest form.2, c, minus, 10, is less than, 3, c, minus, 9 2c−10<
    1. answers icon 1 answer
more similar questions