$-12 < 5x - 2 < 13\\\\-12+2 < 5x - 2+2 < 13+2 \ \text{ ... add 2 to all sides}\\\\-10 < 5x < 15\\\\-10/5 < 5x/5 < 15/5 \ \text{ ... divide all sides by 5 to isolate x}\\\\-2 < x < 3\\\\$

To graph this, we plot open holes at -2 and 3 on the number line. Shade between these open holes to represent values between -2 and 3, but we don't include the endpoints.

See figure 1 below.

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Part B

Solve the first inequality to get

$3x < -9\\\\3x/3 < -9/3\\\\x < -3\\\\$

Now solve the second inequality

$2x \ge x+1\\\\2x-x \ge x+1-x\\\\x \ge 1\\\\$

We have $x < -3 \ \text{ or } \ x \ge 1$

The graph will have an open hole at -3 and a closed/filled in circle at 1. We shade everywhere but the region between these marked values. The left portion in blue represents stuff smaller than -3; the right portion in red represents values equal to 1 or larger.

See figure 2 below.

4 0

2 years ago

Mr. rodriguez, a college instructor, can grade his class papers in 3 hours while it takes his assistant 4.5 hours. if mr. rodrig

NeTakaya

The rate of mr Rodriguez to complete 1 job is 1/3 while that of his assistant is 1/4.5.

So if mr Rodriguez works for 1 hour, the job left would be 2/3 of the job. So the total time needed by assistant is:

(2/3) / (1/4.5) = 3 hours

Answer:

3 hours

3 0

4 years ago

Help please!! thanks

mariarad [96]

Answer:

y=4X+1 is the answer........

4 0

4 years ago

Read 2 more answers

The problem is a word problem: The sum of two consecutive odd numbers is 72. find the numbers​

The problem is a word problem: The sum of two consecutive odd numbers is 72. find the numbers