Answered

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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

Question 4 Of 6What Is The Graph Of The Solution To The Following Compound Inequality15 3x2 Lt16A3452 110234510987 6679 108B25 4 310123410 9 8 7 656789 10C2 101 class=

Sagot :

The given inequality is

[tex]1\leq3x-2<16[/tex]

Adding 2 in the inequality, we get

[tex]1+2\leq3x-2+2<16+2[/tex]

[tex]3\leq3x<18[/tex]

Dividing by 3, we get

[tex]\frac{3}{3}\leq\frac{3x}{3}<\frac{18}{3}[/tex]

[tex]1\leq x<6[/tex]

Hence the solution of the inequality is

[tex]\lbrack1,6)[/tex]

Option B is correct.

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