Question

Question 4 of 6What is the graph of the solution to the following compound inequality?15 3x-2 <16A.-345-2 -1102345-10-9-8-7 -6679 108B.-2-5 -4 -3-101234-10 -9 -8 -7 -656789 10C.-2 -10-10 -9 -8 -7 -6 -5 -4 -312345678910D.-4-3-2 -1-10 -9 -8 -7 -6 -50123465789 10SUBMIT

Answer 1

The given inequality is

`1\leq3x-2<16`

Adding 2 in the inequality, we get

`1+2\leq3x-2+2<16+2`

`3\leq3x<18`

Dividing by 3, we get

`(3)/(3)\leq(3x)/(3)<(18)/(3)`

`1\leq x<6`

Hence the solution of the inequality is

`\lbrack1,6)`

Option B is correct.