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

Answer 1

The solution for the compound inequality is $x \in(2,6)$

Explanation:

The equations are $3.5x-10>-3$ and $8x-9<39$

To find the solution set for these compound inequalities, we need to solve the inequality.

First, we shall solve the inequality $3.5x-10>-3$

Adding both sides of the equation by 10, we have,

$3.5x>7$

Dividing both sides by 3.5, we get,

$x>2$

Now, we shall solve the inequality $8x-9<39$,

Adding both sides of the equation by 9, we have,

$8x<48$

Dividing both sides by 8, we get,

$x<6$

Thus, the solution set for the inequalities $3.5x-10>-3$ and $8x-9<39$ is $x \in(2,6)$

Answer 2

Answer:

The solution for the compound inequality is x \in(2,6)

Step-by-step explanation:

The answer on Edge is C