Answer: To solve the inequality –x – 2.2 < 1.8, we need to isolate the variable x.
Let's start by adding 2.2 to both sides of the inequality to get rid of the -2.2 on the left side:
–x – 2.2 + 2.2 < 1.8 + 2.2
Simplifying the equation, we have:
–x < 4
Next, we need to isolate the variable x by multiplying both sides of the inequality by -1. However, when we multiply both sides of an inequality by a negative number, the direction of the inequality sign flips.
Multiplying both sides of the inequality by -1:
(-1)(-x) > 4(-1)
Simplifying the equation, we have:
x > -4
So, the solution to the inequality –x – 2.2 < 1.8 is x > -4.
In other words, any value of x that is greater than -4 will make the inequality true.