how do i solve the following equations.
Problem # 1
3x greater than or equal to 2x minus 4
can someone correct number 2
Problem # 2
7(x-3)> 5x-14
7x -21 > 5x -14
7x-5x>-14-21
2x>-35
3x is greater than 2x minus 4.
3x>= 2x-4
subtract 2x from both sides
x>=-4
7(x-3)> 5x-14
7x -21 > 5x -14
7x-5x>-14+21 Notice the plus here. YOu have to add 21 to each side.
To solve problem #1, which is "3x greater than or equal to 2x minus 4," follow these steps:
1. Write down the equation:
3x >= 2x - 4
2. Subtract 2x from both sides to isolate the x term on one side of the inequality:
3x - 2x >= -4
3. Simplify the left side of the inequality:
x >= -4
Therefore, the solution to problem #1 is x >= -4.
Moving on to problem #2, here is the correct solution:
1. Write down the equation:
7(x - 3) > 5x - 14
2. Expand the left side of the equation by distributing 7 to both terms inside the parentheses:
7x - 21 > 5x - 14
3. Combine like terms on both sides of the equation:
7x - 5x > -14 + 21
4. Simplify the equation:
2x > 7
Therefore, the correct solution to problem #2 is x > 7.