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
Your answer is correct.
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
Part 2
Graph the solutions. Choose the correct graph below.
A.
-10-8-6-4-20246810
B.
-10-8-6-4-20246810
C.
-10-8-6-4-20246810
D.
-10-8-6-4-20246810
E.
-10-8-6-4-20246810
F.
-10-8-6-4-20246810
Part 1: The inequality 3t - 2 ≤ -8 can be solved as follows:
3t - 2 ≤ -8
Add 2 to both sides: 3t ≤ -6
Divide both sides by 3: t ≤ -2
The inequality 4t + 4 > 8 can be solved as follows:
4t + 4 > 8
Subtract 4 from both sides: 4t > 4
Divide both sides by 4: t > 1
Therefore, the solutions for the inequality are t ≤ -2 or t > 1.
The correct answer is D: t ≤ -2 or t > 1.
Part 2: To graph the solution, we need to plot the values of t on the number line.
The graph should look like this:
A.
-10-8-6-4-20246810