The values −1 and 1 make the equation 3x2+7=10 true. Use set notation to express the solution to the equation.(1 point)
The solution to the equation can be expressed using set notation as {-1, 1}.
To express the solution to the equation 3x^2 + 7 = 10 using set notation, we can write it as:
{x | x = -1 or x = 1}
In set notation, the curly braces {} indicate a set, and the vertical bar | is read as "such that" or "where". Thus, the solution set is the collection of all values of x for which the equation is true, which in this case is -1 and 1.
To solve the equation 3x^2 + 7 = 10, we need to find the values of x that make the equation true. Given that the values -1 and 1 satisfy the equation, we can express the solution in set notation.
Set notation uses curly braces {}, and the elements of the set are separated by commas. In this case, we want to express the values of x that satisfy the equation. Therefore, we can write the solution set as:
{x | x = -1 or x = 1}
This reads as "the set of x such that x is equal to -1 or x is equal to 1."