Question

solve the following linear inequalities in one variable and show the solution set on the number line. 1 <2x<5

Answer 1

`(1)/(2) < x < (5)/(2)`

or

`0.5 < x < 2.5`

`\mathrm{Interval\:Notation:} \; \left((1)/(2),\:(5)/(2)\right)\\\\or\\\\(0.5, 2.5)`

Explanation:

Inequality is 1 < 2x < 5

Divide throughout by 2

1/2 < 2x/2 < 5/2

1/2 < x < 5/2 or in decimal 0.5 < x < 2.5

In interval notation (1/2, 5/2) or (0.5, 2.5)

Choose whichever representation you want

Number line representation in attached image