What is the solution of the inequality:
\(-6x - 17 \geq 8x + 25\)
Answer (3)
**-6x -17 ≥ 8x + 25
**Subtract 8x from each side:
-14x -17 ≥ 25
Add 17 to each side:
-14x ≥ 42
Divide each side by 14 :
-x ≥ 3
Change the signs. (Multiply each side by -1.) That's when you have to flip the inequality symbol.
x ≤ -3
"> − 6 x − 17 ≥ 8 x + 25 − 6 x − 8 x ≥ 25 + 17 − 14 x ≥ 42 / : ( − 14 ) x ≤ − 3 ⇔ x ∈ ( − ∞ ; − 3 >
The solution to the inequality − 6 x − 17 ≥ 8 x + 25 is x ≤ − 3 . This indicates that any value of x that is less than or equal to − 3 meets the condition of the inequality. The solution was found by isolating x on one side and flipping the inequality sign when dividing by a negative number.
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