Solve the inequality. Graph the solutions.
3 t minus 2
less than or equalsnegative 8
or 4 t plus 4
greater than8
Question content area bottom
Part 1
Solve the inequality. Choose the correct answer below.
A.
tgreater than or equals
negative 2
or tless than
1
B.
tless than or equals
negative 2
or tless than
1
C.
tgreater than or equals
negative 5
or tless than
5
D.
tless than or equals
negative 2
or tgreater than
1
E.
tgreater than or equals
negative 5
or tgreater than
5
F.
tless than or equals
negative 5
or tgreater than
5
G.
tgreater than or equals
negative 2
or tgreater than
1
H.
tless than or equals
negative 5
or tless than
5
To solve the first inequality, we can start by isolating the variable t:
3t - 2 ≤ -8
3t ≤ -8 + 2
3t ≤ -6
t ≤ -6/3
t ≤ -2
So the first part of the solution is t ≤ -2.
Now let's solve the second inequality:
4t + 4 > 8
4t > 8 - 4
4t > 4
t > 4/4
t > 1
So the second part of the solution is t > 1.
Combining the two solutions, we have:
t ≤ -2 or t > 1
Therefore, the correct answer is D. t ≤ -2 or t > 1.