The solution for the compound inequality is [tex]x \in(2,6)[/tex]
Explanation:
The equations are [tex]3.5x-10>-3[/tex] and [tex]8x-9<39[/tex]
To find the solution set for these compound inequalities, we need to solve the inequality.
First, we shall solve the inequality [tex]3.5x-10>-3[/tex]
Adding both sides of the equation by 10, we have,
[tex]3.5x>7[/tex]
Dividing both sides by 3.5, we get,
[tex]x>2[/tex]
Now, we shall solve the inequality [tex]8x-9<39[/tex],
Adding both sides of the equation by 9, we have,
[tex]8x<48[/tex]
Dividing both sides by 8, we get,
[tex]x<6[/tex]
Thus, the solution set for the inequalities [tex]3.5x-10>-3[/tex] and [tex]8x-9<39[/tex] is [tex]x \in(2,6)[/tex]
