To solve the inequality 5x - 2 ≤ 8, follow these steps:
1. Add 2 to both sides of the inequality.
5x - 2 + 2 ≤ 8 + 2
5x ≤ 10
2. Divide both sides of the inequality by 5.
(5x)/5 ≤ 10/5
x ≤ 2
Therefore, the solution to the inequality is x ≤ 2.
Solve this inequality:
`5x-2<=8`
5 answers
Should the point be open or closed?
Apologies for omitting that information. To indicate whether the point should be open (>) or closed (≥), we can refer to the original inequality.
The original inequality is 5x - 2 ≤ 8. Since the inequality includes the symbol "≤" (less than or equal to), we include the endpoint, making it a closed point.
Therefore, the solution to the inequality is x ≤ 2, with a closed point at x = 2.
The original inequality is 5x - 2 ≤ 8. Since the inequality includes the symbol "≤" (less than or equal to), we include the endpoint, making it a closed point.
Therefore, the solution to the inequality is x ≤ 2, with a closed point at x = 2.
Where is the shading?
Apologies for the confusion. To indicate the shading of the solution, we would first graph the equality 5x - 2 = 8 and then determine whether to shade to the left or right based on the inequality.
When we graph 5x - 2 = 8, we get a line that represents the equality. In this case, the line would pass through x = 2.
Since the inequality is 5x - 2 ≤ 8, we are looking for values of x where the inequality is true. This means we would shade to the left of the line (including the line itself) because for values of x less than or equal to 2, the inequality holds true.
Therefore, in the graph, we would shade to the left of and up to the point x = 2 from the line 5x - 2 = 8.
When we graph 5x - 2 = 8, we get a line that represents the equality. In this case, the line would pass through x = 2.
Since the inequality is 5x - 2 ≤ 8, we are looking for values of x where the inequality is true. This means we would shade to the left of the line (including the line itself) because for values of x less than or equal to 2, the inequality holds true.
Therefore, in the graph, we would shade to the left of and up to the point x = 2 from the line 5x - 2 = 8.