Question

2.5x-4 _>2(1.5x+4)
What values make this inquisition true
4,-30,0,-24,24,-4,-8

Answer 1

To solve the inequality 2.5x - 4 ≥ 2(1.5x + 4), distribute, combine like terms, isolate the variable, and solve for x and we get x ≤ -24. .

Step-by-step explanation:

To solve the inequality 2.5x - 4 ≥ 2(1.5x + 4), we can start by distributing the 2 on the right side of the equation:

2.5x - 4 ≥ 3x + 8

Next, we can combine like terms by subtracting 3x from both sides:

2.5x - 3x - 4 ≥ 8

-0.5x - 4 ≥ 8

Then, we can isolate the variable by adding 4 to both sides:

-0.5x ≥ 12

Finally, we can divide both sides by -0.5, remembering to flip the inequality sign since we are dividing by a negative number:

x ≤ -24

So the values that make this inequality true are x ≤ -24.