can someone correct this for me.
7(x –3) > 5x - 14
7x –21 > 5x –14
-5x -5x
1x –21 > -14
+21 +21
1x > 7
1x / 1 > 7 / 1
x > 7
the line has an open circle right on number 7 with an arrow going to the positive side.
No. WHen you subtraced 5x from 7x, you should get 2x.
2x-21>-14
2x>7
x>3.5
sorry that was a typo
No problem! Let's correct it together.
Starting with the original equation:
7(x – 3) > 5x - 14
First, distribute the 7 to the terms inside the parentheses:
7x - 21 > 5x - 14
Now, let's simplify the equation. To isolate the variable x, we need to get rid of the constants (-21 and -14) on the right side of the equation. We can do this by adding 21 to both sides:
7x - 21 + 21 > 5x - 14 + 21
7x > 5x + 7
Next, we want to eliminate the 5x term on the right side, so we subtract 5x from both sides:
7x - 5x > 5x - 5x + 7
2x > 7
Now, divide both sides of the inequality by 2 to solve for x:
(2x) / 2 > 7 / 2
x > 7 / 2
However, let's simplify the right side of the inequality further:
x > 3.5
So, the correct solution is x > 3.5. The open circle with an arrow on the number line should be placed on 3.5, indicating that x is greater than 3.5.