#7.
Solve and graph this inequality:
5x − 2 ≤ 5
To solve the inequality, we want to isolate the variable x.
First, we add 2 to both sides:
5x - 2 + 2 ≤ 5 + 2
Simplifying, we get:
5x ≤ 7
Next, we divide both sides of the inequality by 5 to solve for x:
5x/5 ≤ 7/5
Simplifying further, we get:
x ≤ 7/5
So the solution to the inequality is x ≤ 7/5 or x is less than or equal to 7/5.
To graph this inequality on a number line, we start by marking a point at 7/5. Since x is less than or equal to 7/5, we put a solid dot at 7/5 on the number line. Then, we shade the portion of the number line to the left of the dot, indicating all the numbers that are less than or equal to 7/5.