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Вопрос от Анонимного юзера 03 апреля 2025 20:54

1. \( 2 \times 7 > b \) 2. \( \frac{12}{3} = 4 \) 3. \( \frac{20}{a} = 4 \) 4. \( 16 < y < 8 \) 5. \( 3 \times x = 15 \)

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03 апреля 2025 20:54

Let's analyze each of these inequalities and equations step by step.

  1. Inequality: ( 2 \times 7 > b )

    Simplifying the left side gives us: [ 14 > b \quad \text{or} \quad b < 14 ]

  2. Equation: ( \frac{12}{3} = 4 )

    This is a straightforward equation that is true: [ 4 = 4 \quad \text{(Verified)} ]

  3. Equation: ( \frac{20}{a} = 4 )

    To solve for ( a ), we can multiply both sides by ( a ) (assuming ( a \neq 0 )): [ 20 = 4a ] Now divide both sides by 4: [ a = \frac{20}{4} = 5 ]

  4. Inequality: ( 16 < y < 8 )

    This statement has no solution because the left side ( 16 ) is greater than the right side ( 8 ). The inequality cannot be satisfied, so: [ \text{No solution for } y. ]

  5. Equation: ( 3 \times x = 15 )

    To solve for ( x ), divide both sides by 3: [ x = \frac{15}{3} = 5 ]

Summary of Results:

  • From (1): ( b < 14 )
  • From (2): True statement
  • From (3): ( a = 5 )
  • From (4): No solution for ( y )
  • From (5): ( x = 5 )

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1. \( 2 \times 7 > b \) 2. \( \frac{12}{3} = 4 \) 3. \( \frac{20}{a} = 4 \) 4. \( 16 < y < 8 \) 5. \( 3 \times x = 15 \)
Let's analyze each of these inequalities and equations step by step. 1. **Inequality**: \( 2 \times 7 > b \) Simplifying the left side gives us: \[ 14 > b \quad \text{or} \quad b < 14 \] 2. **Equation**: \( \frac{12}{3} = 4 \) This is a straightforward equation that is true: \[ 4 = 4 \quad \text{(Verified)} \] 3. **Equation**: \( \frac{20}{a} = 4 \) To solve for \( a \), we can multiply both sides by \( a \) (assuming \( a \neq 0 \)): \[ 20 = 4a \] Now divide both sides by 4: \[ a = \frac{20}{4} = 5 \] 4. **Inequality**: \( 16 < y < 8 \) This statement has no solution because the left side \( 16 \) is greater than the right side \( 8 \). The inequality cannot be satisfied, so: \[ \text{No solution for } y. \] 5. **Equation**: \( 3 \times x = 15 \) To solve for \( x \), divide both sides by 3: \[ x = \frac{15}{3} = 5 \] ### Summary of Results: - From (1): \( b < 14 \) - From (2): True statement - From (3): \( a = 5 \) - From (4): No solution for \( y \) - From (5): \( x = 5 \)