Question

rita bakes pies at a bakery. the number of pies she can bake, x, is limited by the ingredients they have in stock. this situation is represented by 2x - 3 < 7 and 5 - x < 8. solve the compound inequality and write the viable solutions.
<x<
rita can bake or fewer pies.

Explanation:

Step1: Solve the first - inequality

Solve $2x - 3<7$. Add 3 to both sides: $2x-3 + 3<7 + 3$, which simplifies to $2x<10$. Then divide both sides by 2: $x < 5$.

Step2: Solve the second - inequality

Solve $5 - x<8$. Subtract 5 from both sides: $5 - x-5<8 - 5$, which gives $-x<3$. Multiply both sides by - 1 and reverse the inequality sign: $x>-3$.

Step3: Find the compound - inequality solution

The compound inequality solution is $-3 < x<5$.

Answer:

$-3$; $5$; $4$