Question

solve the inequality. then graph the solution set on a number line.\\(4t - 11 > -27\\) and \\(2t - 11 \leq -25\\)\
progress: 0/2\
part 1 of 2\
(a) solve the given inequality as much as possible. if there is no solution, click on
o solution\. if the solution is all real numbers, click on \all reals\.\
need help?

Explanation:

Step1: Solve \(4t - 11 > -27\)

Add 11 to both sides: \(4t - 11 + 11 > -27 + 11\)
Simplify: \(4t > -16\)
Divide both sides by 4: \(t > -4\)

Step2: Solve \(2t - 11 \leq -25\)

Add 11 to both sides: \(2t - 11 + 11 \leq -25 + 11\)
Simplify: \(2t \leq -14\)
Divide both sides by 2: \(t \leq -7\)

Now, we have \(t > -4\) and \(t \leq -7\). There is no number that is both greater than -4 and less than or equal to -7.

Answer:

No Solution