Use set notation to express the value(s) that make the equation 2x=20
true. Enter your response using set notation.(1 point)
Both −6
and 6 make the equation x22=18
true. Use set notation to express these solutions. When entering your response, list elements in the set from least to greatest, with a comma between each element in the set.(1 point)
{-6, 6}
The solution to the inequality 4y+1>17
is y>4
. Use set notation to express the values of y that make the inequality 4y+1>17
true.(1 point)
{y | y > 4}
{10}
Sophie, Adola, and Gilly are debating potential values in the solution set of the compound inequality −2≤2x−2<8
. Sophie says that −2
is a solution. Adola says that 5 is a solution. Gilly says that 2 is a solution. Which person is correct? Enter 1 for Sophie, 2 for Adola, or 3 for Gilly.(1 point)
Which set notation correctly expresses the solution set to the equation 31−9x=4?(1 point)
Responses
{x=3}
left brace x equals 3 right brace
(3)
left parenthesis 3 right parenthesis
{3}
left brace 3 right brace
(x=3)
{x=3}
Trey, Amelia, and Cho are discussing the solution set to the equation x2+9=45.
Trey says the solution is {6}.
Amelia says the solution is {−6,6}.
Cho says the solution is {−6}.
Which person has found the correct solution set?
(1 point)
Responses
Trey
Trey
Cho
Cho
Amelia
Amelia
None of them are correct.
Amelia is correct. The solution set to the equation x^2 + 9 = 45 is {−6, 6}.
The values −1 and 1 make the equation 3x2+7=10 true. Use set notation to express the solution to the equation.(1 point)
Responses
(−1,1)
left parenthesis negative 1 comma 1 right parenthesis
{−1,1}
left brace negative 1 comma 1 right brace
{x=−1,x=1}
left brace x equals negative 1 comma x equals 1 right brace
(x=−1,x=1)
{−1, 1}
The solution set of the inequality 3(b−4)+2b>3 is the set of values of b greater than three. Which set notation correctly expresses the solutions?(1 point)
Responses
{b:b<15}
left brace b colon b less than 15 right brace
{b:b>3}
left brace b colon b greater than 3 right brace
{b:b<3}
left brace b colon b less than 3 right brace
{b:b>15}
{b:b>3}
What value falls in the solution set of the inequality −3(4k+1)<15?(1 point)
Responses
−32
Start Fraction negative 3 over 2 End Fraction
−1
negative 1
−4
negative 4
−5