Question

identify solution set for 4-x+1​

Answer 1

Step-by-step explanation:

∣4−x∣+1<3

⇒4−x+1<3

Add −4 and −1 on both sides, we get

4−x+1−4−1<3−4−1

⇒−x<−2

Multiply both sides by −1, we get

x>2

Also,

∣4−x∣+1<3

⇒−(4−x)+1<3

⇒−4+x+1<3

Add 4 and −1 on both sides, we get

−4+x+1+4−1<3+4−1

⇒x<6

Thus, x∈(2,6).