To solve the first equation, we will first distribute the 2 to both terms inside the parentheses:
2(х) + 2(2) = 5 - 2х2х + 4 = 5 - 2х
Combine like terms:2х + 2х + 4 = 54х + 4 = 5
Subtract 4 from both sides:4х = 1
Divide by 4:х = 1/4
Therefore, the solution to the first equation is x = 1/4.
To solve the second inequality:
2х - 11 > 5х - 9
Subtract 2х from both sides:-11 > 3х - 9
Add 9 to both sides:-2 > 3х
Divide by 3 (note that when dividing by a negative number, the inequality sign flips):-2/3 < x
Therefore, the solution to the inequality is x > -2/3.
To solve the first equation, we will first distribute the 2 to both terms inside the parentheses:
2(х) + 2(2) = 5 - 2х
2х + 4 = 5 - 2х
Combine like terms:
2х + 2х + 4 = 5
4х + 4 = 5
Subtract 4 from both sides:
4х = 1
Divide by 4:
х = 1/4
Therefore, the solution to the first equation is x = 1/4.
To solve the second inequality:
2х - 11 > 5х - 9
Subtract 2х from both sides:
-11 > 3х - 9
Add 9 to both sides:
-2 > 3х
Divide by 3 (note that when dividing by a negative number, the inequality sign flips):
-2/3 < x
Therefore, the solution to the inequality is x > -2/3.