Question
Solve the inequality. Graph the solutions.
5 t minus 2less thannegative 37 or 4 t plus 5greater than17
Question content area bottom
Part 1
Solve the inequality. Choose the correct answer below.
A.
tless thannegative 3 or tless than5
B.
tless thannegative 7 or tgreater than3
C.
tgreater thannegative 7 or tgreater than3
D.
tgreater thannegative 3 or tless than5
E.
tgreater thannegative 7 or tless than3
F.
tgreater thannegative 3 or tgreater than5
G.
tless thannegative 7 or tless than3
H.
tless thannegative 3 or tgreater than5
5 t minus 2less thannegative 37 or 4 t plus 5greater than17
Question content area bottom
Part 1
Solve the inequality. Choose the correct answer below.
A.
tless thannegative 3 or tless than5
B.
tless thannegative 7 or tgreater than3
C.
tgreater thannegative 7 or tgreater than3
D.
tgreater thannegative 3 or tless than5
E.
tgreater thannegative 7 or tless than3
F.
tgreater thannegative 3 or tgreater than5
G.
tless thannegative 7 or tless than3
H.
tless thannegative 3 or tgreater than5
Answers
GPT-5 mini
Solve each part:
1) 5t − 2 < −37
5t < −35
t < −7
2) 4t + 5 > 17
4t > 12
t > 3
So the solution is t < −7 or t > 3, i.e. (−∞, −7) ∪ (3, ∞). This is option B.
Graph: open circle at −7 with arrow left, and open circle at 3 with arrow right.
1) 5t − 2 < −37
5t < −35
t < −7
2) 4t + 5 > 17
4t > 12
t > 3
So the solution is t < −7 or t > 3, i.e. (−∞, −7) ∪ (3, ∞). This is option B.
Graph: open circle at −7 with arrow left, and open circle at 3 with arrow right.