We know that
The sum of the lengths of any two sides of a triangle is greater than the length of the third side (<span>Triangle Inequality Theorem)
so
inequality 1
</span>
<span>
inequality 2
</span>
<span>
the answer is
</span>
<span>
</span>
Answer:
A. {x: x ≥ -4}
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>
- Terms/Coefficients
- {Builder Set Notation}
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
3(2x - 1) - 11x ≤ -3x + 5
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Distributive Property Distribute 3: 6x - 3 - 11x ≤ -3x + 5
- [Subtraction] Combine like terms: -5x - 3 ≤ -3x + 5
- [Addition Property of Equality] Add 5x on both sides: -3 ≤ 2x + 5
- [Subtraction Property of Equality] Subtract 5 on both sides: -8 ≤ 2x
- [Division Property of Equality] Divide 2 on both sides: -4 ≤ x
- Rewrite: x ≥ -4
Answer: $0.20
Step-by-step explanation: $8.4 divided by the 24 or 2 dozen dougnuts she sells means she sell each donut for $0.35 and if we know that Jane Dough sells her doughnuts for $0.15 more than what it costs her to make each doughnut then $0.35 - $0.15 = $0.20 to make each donut
Answer:
It is the side where the rays of the angles overlap. The "non-included" side in AAS can be either of the two sides that are not directly between the two angles being used.
