Respuesta :
The equation does not include the value of 6, we can also express the solution as –[infinity], 6), which excludes the value of 6
The equation 5x - 10 ≤ 20 can be solved by isolating the x variable and rearranging the equation to solve for x. First, we need to add 10 to both sides of the equation in order to get all the terms on one side of the equation. This gives us 5x ≤ 30. Then, we need to divide both sides of the equation by 5 in order to isolate the x variable. This results in x ≤ 6. The solution for this equation can be written as the set of all real numbers less than or equal to 6, which can be represented as –[infinity], 6]. Since this equation does not include the value of 6, we can also express the solution as –[infinity], 6), which excludes the value of 6.
In more detail, when solving a linear inequality, the objective is to isolate the variable on one side of the inequality sign. The first step is to move all terms not containing the variable to the other side of the inequality sign by performing the opposite operation of the given equation. In this case, the equation 5x - 10 ≤ 20 has a subtraction on the left-hand side, so the opposite operation is to add 10 to both sides of the equation. This results in 5x ≤ 30.
Next, we need to divide both sides of the equation by 5 to isolate the x variable. This yields x ≤ 6. The solution for this equation is the set of all real numbers that are less than or equal to 6, which can be written as –[infinity], 6]. Since the equation does not include the value of 6, we can also express the solution as –[infinity], 6), which excludes the value of 6.
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