Answer :
To solve the inequality 5x + 4 ≥ 7x, subtract 5x from both sides to isolate the variable. This results in 4 ≥ 2x. Then, divide by 2 to find x ≤ 2.
To solve the inequality 5x + 4 ≥ 7x, we need to isolate the variable x.
Here's how you can do it step by step:
1. Start by subtracting 5x from both sides of the inequality to move the variable terms to one side:
5x - 5x + 4 ≥ 7x - 5x.
This simplifies to 4 ≥ 2x.
2. Next, divide both sides of the inequality by 2 to isolate x:
4/2 ≥ 2x/2.
This simplifies to 2 ≥ x.
So, the solution to the inequality 5x + 4 ≥ 7x is x ≤ 2.
This means that any value of x less than or equal to 2 will satisfy the inequality.
For example, if x is 2, 1, or any value less than 2, the inequality will be true.
Keep in mind that when we divide or multiply both sides of an inequality by a negative number, the direction of the inequality symbol changes.
But in this case, we didn't encounter any negative numbers, so the direction remains the same.
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