Question

Which is the solution set of the compound inequality 3.5 x minus 10 greater-than negative 3 and 8 x minus 9 less-than 39 Negative 2 less-than x less-than 3 and three-quarters Negative 2 less-than x less-than 6 2 less-than x less-than 6 2 less-than x less-than 3 and three-quarters

Answer 1

Answer: C on e2020

Step-by-step explanation: Just took test

Answer 2

Answer:

2 less-than x less-than 6

Step-by-step explanation:

we have

$3.5x-10>-3$ -----> inequality A

Adds 10 both sides

$3.5x>-3+10\\3.5x>7$

Divide by 3.5 both sides

$x>7/3.5\\x>2$

The solution of the inequality A is the interval (2,∞)

$8x-9$ ----> inequality B

Adds 9 both sides

$8x$

Divide by 8 both sides

$x$

The solution of the inequality B is the interval (-∞,6)

therefore

The solution set of the compound inequality is

(2,∞) ∩ (-∞,6)=(2,6)

$2 < x < 6$

2 less-than x less-than 6