Question

unit 2

1. which is the solution to the inequality: ( 5x + 1 < - 9 ) or ( 3x - 4 > 8 )?

a. ( x < - 2 ) or ( x > 4 )
b. ( - 2 < x < 4 )
c. ( x leq - 2 ) and ( x geq 4x )
d. ( x > - 2 ) or ( x < 4 )

1. solve: ( 7(3x - 4) leq 5(4x + 6) )
2. which interval represents the solution to ( 10 < - 3x + 25 leq 31 )?

a. ( -2,5) )
b. ( (-2,5 )
c. ( (-infty,-2)cup(5,infty) )
d. ( -5,2) )

1. which description best matches the interval ( 4,infty) )?

a. closed circle at 4 with shading to the right
b. open circle at 4 with shading to the right
c. closed circle at 4 with shading to the left
d. open circle at 4 with shading to the left

Explanation:

Step1: Solve \(5x + 1 < -9\)

Subtract 1 from both sides: \(5x < - 10\).
Divide both sides by 5: \(x < - 2\).

Step2: Solve \(3x - 4>8\)

Add 4 to both sides: \(3x>12\).
Divide both sides by 3: \(x > 4\).

Answer:

A. \(x < - 2\) or \(x > 4\)