Answer:An absolute value inequality is solved by re-writing it as compound inequality. For example.
|x+1| < 5
Since the value inside the absolute value brackets: (x+1) can be positive or negative, it is re-written as a compound inequality as the example below.
x+1 < 5
x+1 > - 5
solve for the range of values x can be
-6 < x < 4
Step-by-step explanation: How to solve inequalities
Answer:
Inequality Form:
r ≥ 7
Interval Notation:
[7, ∞)
Step-by-step explanation:
−1.3 ≥ 2.9 − 0.6r
Rewrite so r is on the left side of the inequality.
2.9 − 0.6r ≤ −1.3
Move all terms not containing r to the right side of the inequality.
Subtract 2.9 from both sides of the inequality.
−0.6r ≤ −1.3 − 2.9
Subtract 2.9 from −1.3.
−0.6r ≤ −4.2
Divide each term by −0.6 and simplify.
Divide each term in −0.6r ≤ −4.2 by −0.6. When multiplying or dividing both sides of an
inequality by a negative value, f lip the direction of the inequality sign.
−0.6r
/−0.6 ≥ −4.2
/−0.6
Cancel the common factor of −0.6.
−4.2
r ≥ ______
−0.6
Divide −4.2 by −0.6.
r ≥ 7
The result can be shown in multiple forms.
Inequality Form:
r ≥ 7
Interval Notation:
[7, ∞)
You need about 50 pages. but to be exact it’s 49.3333333...going on forever
Cost of the toothbrush and the toothpaste together = $1.10
Let us assume the cost of the toothpaste = x
Then
The cost of the toothbrush is = (x + 1) dollar
Then we can write the equation as
x + x+ 1 = 1.10
2x + 1 = 1.10
2x = 1.10 - 1
2x = 0.10
x = 0.10/2
= .05 dollars
So the cost of the toothpaste is 0.05 dollars.<span>I hope
the procedure is clear to you.</span>
