Question

24 < 4x - 3 +5x + 6
a.) x > 3
b.) x > 7/3
c.) x < 7/3
d.) x < 3

Answer 1

Solution:

Simplify the RHS:

• 24 < 4x - 3 + 5x + 6
• => 24 < 9x - 3 + 6

Further simplify the RHS:

• => 24 < 9x + 3

Subtract 3 both sides:

• => 24 - 3 < 9x

Simplify the LHS:

• => 21 < 9x

Divide both sides by 9:

• => 21/9 < 9x/9
• => 7/3 < x

Switch signs:

• => x > 7/3

Now, graph the line.

Line attached~