Answer:
The largest integer value that makes the inequality true is 9.
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Terms/Coefficients
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
1x - 8 < 2x + 1
<u>Step 2: Solve for </u><u><em>x</em></u>
- Simplify: x - 8 < 2x + 1
- [Subtraction Property of Equality] Subtract <em>x</em> on both sides: -8 < x + 1
- [Subtraction Property of Equality] Subtract 1 on both sides: -8 < x
- Rewrite: x > -8
∴ we see that any number <em>x greater than -8</em> would work as a solution to the inequality. That would mean the next largest integer, 9, would be our answer.
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Topic: Algebra I
Answer:
L = 18 inches
Step-by-step explanation:
if s is side length
400 = s•s•4
s² = 100
s = 10
so the original flat cardboard square has sides of
L = 10 + 4 + 4
L = 18 inches
Answer:
Step-by-step explanation:
- −2x + 5(x − 2) > 7x − 6
- -2x + 5x - 10 > 7x - 6
- 3x - 7x > - 6 + 10
- -4x > 4
- x < - 1
- x = (-∞, -1)
The graph is all points to the left from -1, where -1 is not included
Answer:
A=4.
Step-by-step explanation:
Note: In the expression of area the first term should be .
It is given that area of a rectangular floor of your house is and the length is units.
We know that, area of a rectangle is
Since length of the rectangle is , therefore is a factor of and the value of is 0 at x=-2.
Divide both sides by 4.
Therefore, the value of A is 4.
Answer:
7/12.
Step-by-step explanation:
There are 12 numbers totals.
The numbers 1, 7, 11, 8, 2, 4, and 10 are not in Set Q.
There are seven of those numbers which means that the probability of a number not being in Set Q is 7/12.