Question

Need help please!!!!

Answer 1

Given : A inequality is given to us . The inequality is 19 ≥ t + 18 ≥ 11 .

To Find : The correct option between the given ones . To write the compound inequality with integers .

Solution : The given inequality to us is 19 ≥ t + 18 ≥ 11 . Let's simplify them seperately .

`\red{\tt Case\:1}`

⇒ 19 ≥ t + 18 .

⇒ t + 18 ≤ 19 .

⇒ t ≤ 19 - 18 .

⇒ t ≤ 1 = 1 ≥ t . ..................(i)

`\red{\tt Case\:2}`

⇒ t + 18 ≥ 11 .

⇒ t ≥ 11 - 18.

⇒ t ≥ -7 . ....................(ii)

On combing (i) & (ii) .

`\Large\boxed{\green{\bf \red{\longmapsto} 1 \geqslant t \geqslant -7 }}`

This means that t is less than or equal to 1 but greater than or equal to (-7) .