Answer: 5x + 5 ≤ 3x + 4 is x ≤ -1/2.
Explanation:
To solve for x in the inequality 5x + 5 ≤ 3x + 4, we can follow these steps:
First, simplify both sides of the inequality by combining like terms:
5x + 5 ≤ 3x + 4
2x + 5 ≤ 4
Next, isolate the variable term on one side of the inequality by subtracting 2x from both sides:
2x + 5 - 2x ≤ 4 - 2x
5 ≤ 4 - 2x
Now, isolate the variable by subtracting 4 from both sides and then multiplying both sides by -1 to reverse the inequality:
5 - 4 ≤ -2x
1 ≤ -2x
-2x ≥ 1
Finally, solve for x by dividing both sides by -2 and flipping the direction of the inequality:
x ≤ -1/2
Therefore, the solution to the inequality 5x + 5 ≤ 3x + 4 is x ≤ -1/2.