Graph the solution set of the inequality and write the solution using interval notation.

Question

asked Aug 9, 2023 119k views

1 Answer

Zizy Archer · Answer 1 · 2023-08-14T20:10:45+0000

Solution:

Consider the following inequality:

$-4<(3x-2)/(5)\leq6$

this is equivalent to:

$(-4)(5)<3x-2\leq(6)(5)$

this is equivalent to:

$-20<3x-2\leq30$

solving for 3x, this is equivalent to:

$-20+2<3x\leq30+2$

this is equivalent to:

$-18<3x\leq32$

solving for x, we get:

$-(18)/(3)this is equivalent to:[tex]-6in interval notation, this is equivalent to:[tex](-6,(32)/(3)\rbrack$

the solution set on the real line is: