Answer:
x > 8
Step-by-step explanation:
Solve for x to find the solution.
10 - 4x < -22
Subtract 10 from both sides.
-4x < -32
Divide both sides by -4. Flip the sign when dividing by negative.
x > 8.
Answer:
x ≤ 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
2(4 + 2x) ≥ 5x + 5
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Distributive Property] Distribute 2: 8 + 4x ≥ 5x + 5
- [Subtraction Property of Equality] Subtract 5x on both sides: 8 - x ≥ 5
- [Subtraction Property of Equality] Subtract 8 on both sides: -x ≥ -3
- [Division Property of Equality] Divide -1 on both sides: x ≤ 3
Answer:
"the sum of the cube of 6x and 2"
Step-by-step explanation:
We see that only the expression of 6x is being cubed, not the entire expression of (6x)³ + 2.
The first blank must apply to both these terms 6x and 2, so the word can't be cubed. Instead, because we're finding the sum of these two, the word should be "sum".
The second blank should apply to only the 6x because we've already described the relationship of 6x and 2. So, since we are cubing 6x, the word here should be "cube".
The final sentence should read:
"the sum of the cube of 6x and 2"
Remark
One of the things you need to do is learn to read phrase by phrase.
What is the quotient of a number and 7? That meas you have a number, x, and it is divided by 7. What you do that the answer you get is the quotient.
x/7 is what you know so for. Now the first part says you take 12 away from that.
x/7 - 12 is what you have after doing that.
The result you get is - 2
x/7 - 12 = - 2 Add 12 to both sides
x/7 - 12 + 12 = - 2 + 12
x/7 = 10 Now multiply by 7
x = 10 *7
x = 70 <<< Answer the number is 70
