Answer:
<h2>1 < x < 6 ⇒ x ∈ (1, 6)</h2>Step-by-step explanation:
3x - 8 > -5 <em>add 8 to both sides</em>
3x > 3 <em>divide both sides by 3</em>
x > 1
2x - 7 < 5 <em>add 7 to both sides</em>
2x < 12 <em>divide both sides by 2</em>
x < 6
From x > 1 and x < 6 we have the solution 1 < x < 6 ⇒ x ∈ (1, 6)
For this case, the first thing we must do is define a variable.
We have then:
x: unknown number
We now write the equation that models the problem:
From here, we clear the value of x.
We multiply both sides of the equation by 2:
We subtract 30 on both sides of the equation:
Answer:
The value of the unknown number is given by:
