Question

what value of x is in the solution set of the inequality -5x - 15 > 10 + 20x?
-2
-1
0
1

Explanation:

Step1: Move terms with x to one side

Add \(5x\) to both sides of the inequality \(-5x - 15>10 + 20x\) to get \(-15>10 + 25x\).

Step2: Isolate the term with x

Subtract \(10\) from both sides: \(-15 - 10>25x\), which simplifies to \(-25>25x\).

Step3: Solve for x

Divide both sides by \(25\) (since \(25>0\), the inequality sign remains the same): \(-1>x\) or \(x < - 1\).
Now we check the options:

• For \(x=-2\): \(-2 < - 1\), so it satisfies \(x < - 1\).
• For \(x=-1\): \(-1\) is not less than \(-1\), so it doesn't satisfy.
• For \(x = 0\): \(0\) is not less than \(-1\), so it doesn't satisfy.
• For \(x = 1\): \(1\) is not less than \(-1\), so it doesn't satisfy.

Answer:

-2