Solve for y.∣y∣+9<13Write a compound inequality like 1<x<3 or like x<1 or x>3. Use integers, proper fractions, or improper fractions in simplest form.______
Q. Solve for y.∣y∣+9<13Write a compound inequality like 1<x<3 or like x<1 or x>3. Use integers, proper fractions, or improper fractions in simplest form.______
Isolate ∣y∣: We have the inequality: ∣y∣+9<13First, we isolate ∣y∣ by subtracting 9 from both sides of the inequality.∣y∣+9−9<13−9∣y∣<4
Interpret absolute value inequality: Now we interpret the absolute value inequality. The expression ∣y∣<4 means that y is less than 4 units away from 0 on the number line. This gives us two inequalities:y<4 and y>−4
Combine into compound inequality: We can combine these two inequalities into a compound inequality:−4<y<4This compound inequality represents all the values of y that are more than −4 and less than 4.
More problems from Solve absolute value inequalities