Question

19 of 10
sjbp algebra i sem district q1 assessment spring 2026 (resumed)
algebra i, algebra 1, term 8394, period: 04, hayden jackson, id: 15017541
emma wants to work at least 20 hours each week but cannot work more than 30 hours each week. she has already worked 9 hours this week. let $x$ represent the number of hours emma can still work this week. enter an inequality that represents how many hours emma can still work this week

Explanation:

Step1: Define total work hours

Let total work hours = $9 + x$, where $x$ = remaining hours.

Step2: Set minimum work hour inequality

Total ≥ 20: $9 + x \geq 20$

Step3: Set maximum work hour inequality

Total ≤ 30: $9 + x \leq 30$

Step4: Simplify both inequalities

For minimum: $x \geq 20 - 9 = 11$
For maximum: $x \leq 30 - 9 = 21$
Combine into a compound inequality.

Answer:

$11 \leq x \leq 21$