Question

Determine the smallest integer value of x in -2x+1< -9

Answer 1

Answer: The smallest integer value of x that satisfies the inequality -2x+1<-9 is x=5.

Step-by-step explanation:

Answer: The smallest integer value of x that satisfies the inequality -2x+1<-9 is x=5.

Step-by-step explanation:

To solve the inequality, we need to isolate the variable x on one side of the inequality symbol. Here are the steps:

Subtract 1 from both sides of the inequality:

-2x < -10

Divide both sides of the inequality by -2, remembering to reverse the direction of the inequality symbol:

x > 5

Therefore, the smallest integer value of x that satisfies the inequality is x = 5, since any value less than 5 would make the inequality false.

Answer 2

x = 6

Step-by-step explanation:

- 2x + 1 < - 9 ( subtract 1 from both sides )

- 2x < - 10

divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity.

x > 5

since x must be greater than 5, it cannot equal 5

then the smallest integer value of x is x = 6