Question

1. rogan is burning a music cd. the cd holds at most 70 minutes of music. rogan has already selected 45 minutes of music. write and solve an inequality to find how many more minutes of music rogan can select. 5. petra must write a report with more than 1,000 words for her history class. so far, she has written 684 words. write and solve an inequality to find how many more words petra needs to write for her report. 6. leslie hopes to be at least 72 inches tall. right now he is 56 inches tall. write an solve an inequality to find how much more leslie would like to grow.

Explanation:

Problem 4

Step1: Define variable, set inequality

Let $x$ = extra minutes. Total ≤ 70:
$$45 + x \leq 70$$

Step2: Isolate $x$

Subtract 45 from both sides:
$$x \leq 70 - 45$$
$$x \leq 25$$

Problem 5

Step1: Define variable, set inequality

Let $x$ = extra words. Total > 1000:
$$684 + x > 1000$$

Step2: Isolate $x$

Subtract 684 from both sides:
$$x > 1000 - 684$$
$$x > 316$$

Problem 6

Step1: Define variable, set inequality

Let $x$ = extra inches. Total ≥ 72:
$$56 + x \geq 72$$

Step2: Isolate $x$

Subtract 56 from both sides:
$$x \geq 72 - 56$$
$$x \geq 16$$

Answer:

1. Rogan can select at most 25 more minutes of music.
2. Petra needs to write more than 316 more words.
3. Leslie needs to grow at least 16 more inches.