Solve the inequality. 5 + 7x >= 11x + 3 - 4x
To solve this inequality, we need to combine like terms and isolate the variable.
Starting with 5 + 7x >= 11x + 3 - 4x, we can simplify:
5 + 7x >= 7x + 3
Next, we can subtract 7x from both sides to eliminate the variable from one side:
5 >= 3
Since 5 is greater than or equal to 3, this inequality is true for all values of x.
Therefore, the solution to the inequality is x can be any real number.
To solve the inequality 5 + 7x >= 11x + 3 - 4x, we need to simplify both sides and isolate the variable. Let's go step by step:
1. Combine the like terms on both sides:
5 + 7x >= 11x + 3 - 4x
5 + 7x >= 7x + 3
2. Move all the terms involving x to one side of the inequality by subtracting 7x from both sides:
5 + 7x - 7x >= 7x + 3 - 7x
5 >= 3
3. Simplify the remaining inequality:
5 >= 3
Since this inequality is true, the solution is x can be any real number.
To solve the inequality 5 + 7x ≥ 11x + 3 - 4x, we need to isolate the variable x on one side of the inequality sign.
Let's begin by simplifying both sides of the equation:
5 + 7x ≥ 11x + 3 - 4x
Combining like terms, we get:
5 + 7x ≥ 7x + 3
Next, let's move all terms containing x to one side of the inequality by subtracting 7x from both sides:
5 ≥ 3
Since 5 is greater than or equal to 3, this statement is true regardless of the value of x. Therefore, the solution to the inequality is all real numbers or (-∞, +∞).