Mathematics
Grade-7
Easy

Question

Solve 7(x + 3) < 5x + 13

  1. x>-4
  2. x < 17
  3. x<-4
  4. x > -17

The correct answer is: x>-4


        7(x + 3) < 5x + 13
    7x +21 < 5x +13
    7x -5x < 13-21
    2x < -8
    fraction numerator 2 x over denominator 2 end fraction space less than space fraction numerator negative 8 over denominator 2 end fraction
    Divided each side by 2, 2 is a positive no. so inequality sign will not change
    X < -4

    when we multiply or divide by a negative number inequality sign will change

    Related Questions to study

    Grade-7
    Mathematics

    Solve:
    3(x - 2) < 2(x + 9)

    Solve:
    3(x - 2) < 2(x + 9)

    MathematicsGrade-7
    Grade-7
    Mathematics

    Solve -2 (x+2) < 12

    when we multiply or divide by a negative number inequality sign will change

    Solve -2 (x+2) < 12

    MathematicsGrade-7

    when we multiply or divide by a negative number inequality sign will change

    Grade-7
    Mathematics

    Solve 30b + 53 ≥ 18b – 83

    Solve 30b + 53 ≥ 18b – 83

    MathematicsGrade-7
    parallel
    Grade-7
    Mathematics

    Solve 55c + 13 ≤ 75c + 39

    Solve 55c + 13 ≤ 75c + 39

    MathematicsGrade-7
    Grade-7
    Mathematics

    Solve 6(n + 2) < -72

    Solve 6(n + 2) < -72

    MathematicsGrade-7
    Grade-7
    Mathematics

    Solve -4x -7 ≥ 21

    Solve -4x -7 ≥ 21

    MathematicsGrade-7
    parallel
    Grade-7
    Mathematics

    Solve -2 (x+2) < 14

    multiply or divide by a negative number it will change the sign of inequality

    Solve -2 (x+2) < 14

    MathematicsGrade-7

    multiply or divide by a negative number it will change the sign of inequality

    Grade-7
    Mathematics

    Solve for b.
    2(b+1) +3≤7

    Solve for b.
    2(b+1) +3≤7

    MathematicsGrade-7
    Grade-7
    Mathematics

    Solve for g.
    2(g+1) +2 <10

    Solve for g.
    2(g+1) +2 <10

    MathematicsGrade-7
    parallel
    Grade-7
    Mathematics

    Solve for h.
    3(h+1) <9

    Solve for h.
    3(h+1) <9

    MathematicsGrade-7
    Grade-7
    Mathematics

    Solve for w.
    2(w+2) <6

    Solve for w.
    2(w+2) <6

    MathematicsGrade-7
    Grade-7
    Mathematics

    Dave has earned scores of 87, 81, 92, 88, and 83 on the first five of six math tests for the semester. He would like to finish the semester with a test average of at least 90. Find the score Dave needs to earn on the sixth test to achieve his goal.

    Dave has earned scores of 87, 81, 92, 88, and 83 on the first five of six math tests for the semester. He would like to finish the semester with a test average of at least 90. Find the score Dave needs to earn on the sixth test to achieve his goal.

    MathematicsGrade-7
    parallel
    Grade-7
    Mathematics

    Solve -4x + 14 ≤ 54

    multiply or divide by a negative number it will change the sign of inequality

    Solve -4x + 14 ≤ 54

    MathematicsGrade-7

    multiply or divide by a negative number it will change the sign of inequality

    Grade-7
    Mathematics

    Solve for y.
    5(y+1)>10

    Solve for y.
    5(y+1)>10

    MathematicsGrade-7
    Grade-7
    Mathematics

    Solve 2(j+2) <10

    Solve 2(j+2) <10

    MathematicsGrade-7
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.