Question
Solve the following inequality. Then graph the solution.
5(3xminus5)plus3(14minus2x) > 2(4xplus5)minus5
Question content area bottom
Part 1
Choose the correct solution below.
A.
xgreater than12
B.
xgreater thannegative 18
C.
xgreater than22
D.
xgreater thannegative 12
5(3xminus5)plus3(14minus2x) > 2(4xplus5)minus5
Question content area bottom
Part 1
Choose the correct solution below.
A.
xgreater than12
B.
xgreater thannegative 18
C.
xgreater than22
D.
xgreater thannegative 12
Answers
GPT-5 mini
Solve: 5(3x − 5) + 3(14 − 2x) > 2(4x + 5) − 5
Compute both sides:
Left: 5(3x − 5) + 3(14 − 2x) = 15x − 25 + 42 − 6x = 9x + 17
Right: 2(4x + 5) − 5 = 8x + 10 − 5 = 8x + 5
Inequality: 9x + 17 > 8x + 5
Subtract 8x: x + 17 > 5
Subtract 17: x > −12
Answer: D. x > −12
Graph: open circle at −12 and shade the number line to the right (all numbers greater than −12).
Compute both sides:
Left: 5(3x − 5) + 3(14 − 2x) = 15x − 25 + 42 − 6x = 9x + 17
Right: 2(4x + 5) − 5 = 8x + 10 − 5 = 8x + 5
Inequality: 9x + 17 > 8x + 5
Subtract 8x: x + 17 > 5
Subtract 17: x > −12
Answer: D. x > −12
Graph: open circle at −12 and shade the number line to the right (all numbers greater than −12).