Question

Help please ASAP!!! Quick

Answer 1

Answer:

6. $15x-125\ge 205,\ \ \ 22\ hours$

7. $0\le x$

Step-by-step explanation:

6. Let x be the number of hours Manuela works in a week. She makes $15 per hour, so $15x is the amount of money she earns in a week.

$125 should be deducted, so she is left with

$\ (15x-125)$

This amount must be at least $205, so

$15x-125\ge 205$

Solve this inequality:

$15x-125+125\ge 205+125\\ \\15x\ge 330\\ \\x\ge 22$

Hence, the fewest number of hours she works in a week is 22 hours.

7. Solve the inequality

$|2x-1|$

Rewrite it as a double equivalent inequality:

$-3$

Add 1:

$-3+1$

Divide it by 2:

$-1$

Non-negative integer solutions are $0\le x$