Answer:
x>[tex]\frac{16}{-9}[/tex] and x ≤[tex]\frac{-19}{13}[/tex].
Step-by-step explanation:
Given : −9x+2>18 AND 13x+15≤−4.
To find : Solve.
Solution : We have given −9x+2>18 AND 13x+15≤−4.
For −9x + 2 > 18 .
On subtracting both sides by 2
- 9x > 18-2
- 9x > 16.
On dividing both sides by -9.
x>[tex]\frac{16}{-9}[/tex].
For 13x + 15 ≤ −4.
On subtracting both sides by 15.
13 x ≤ -4 - 15.
13 x ≤ -19.
On dividing both sides by 13.
x ≤ [tex]\frac{-19}{13}[/tex].
Therefore, x>[tex]\frac{16}{-9}[/tex] and x≤[tex]\frac{-19}{13}[/tex].
