Maths-
General
Easy

Question

Solve inequality -4x≥20 and then graph the solution.

hintHint:

Linear inequalities are expressions where any two values are compared by the inequality symbols<,>,≤&≥ .
We are asked to solve the inequality and graph it.

The correct answer is: x≤-5


    Step 1 of 2:
    Rearrange and solve the inequality;
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell negative 4 x greater or equal than 20 end cell row cell x less or equal than fraction numerator 20 over denominator negative 4 end fraction end cell row cell x less or equal than negative 5 end cell end table
    Here, we changed the direction of the inequality because we divided them with a negative number.
    Step 2 of 2:
    Graph the inequality corresponding to the solution;

                                                                  
    .

    When an inequality is divided or multiplied by a negative number, the direction of the inequality symbol changes

    Related Questions to study

    General
    Maths-

    Solve inequality:0.5 x less than 6 and then graph the solution.

    Solve inequality:0.5 x less than 6 and then graph the solution.

    Maths-General
    General
    Maths-

    Rachel multiplied each side of X≥2 by 3. She wrote the result as 3X≤ 6. Explain the error Rachel made.

    Rachel multiplied each side of X≥2 by 3. She wrote the result as 3X≤ 6. Explain the error Rachel made.

    Maths-General
    General
    Maths-

    Use the information in the diagram. What is the length of side BC of △ ABC ? Explain your reasoning.

     

    Use the information in the diagram. What is the length of side BC of △ ABC ? Explain your reasoning.

     

    Maths-General
    parallel
    General
    Maths-

    Given: P(0,h), Q(h,0), R(-h,0)
    Prove: △ PQR is an isosceles triangle.

    Given: P(0,h), Q(h,0), R(-h,0)
    Prove: △ PQR is an isosceles triangle.

    Maths-General
    General
    Maths-

    A rectangle with side lengths 3h and k has a vertex at (2h, k). Which point cannot be a vertex of the rectangle?

    A rectangle with side lengths 3h and k has a vertex at (2h, k). Which point cannot be a vertex of the rectangle?

    Maths-General
    General
    Maths-

    Use △ ABC, where M, N, Q are midpoints of the sides.
    MQ = 3y − 5, AC = 4y + 2

    Use △ ABC, where M, N, Q are midpoints of the sides.
    MQ = 3y − 5, AC = 4y + 2

    Maths-General
    parallel
    General
    Maths-

    M and N are midpoints of the sides AB and AC respectively.
    Which of the given statements is NOT correct?

    M and N are midpoints of the sides AB and AC respectively.
    Which of the given statements is NOT correct?

    Maths-General
    General
    Maths-

    Use △ ABC, where M, N, Q are midpoints of the sides.
    MN = 3x + 8, BC = 2x + 24
     

    Use △ ABC, where M, N, Q are midpoints of the sides.
    MN = 3x + 8, BC = 2x + 24
     

    Maths-General
    General
    Maths-

    Place the figure in a coordinate plane in a convenient way.
    Assign coordinates to each vertex.
    Right triangle: leg lengths are a and b.

    Place the figure in a coordinate plane in a convenient way.
    Assign coordinates to each vertex.
    Right triangle: leg lengths are a and b.

    Maths-General
    parallel
    General
    Maths-

    Place the figure in a coordinate plane in a convenient way.
    Assign coordinates to each vertex.
    Rectangle: length is l and width is b.

    Place the figure in a coordinate plane in a convenient way.
    Assign coordinates to each vertex.
    Rectangle: length is l and width is b.

    Maths-General
    General
    Maths-

    Place the figure in a coordinate plane in a convenient way.
    Assign coordinates to each vertex.
    Square: side length is 4.

    Place the figure in a coordinate plane in a convenient way.
    Assign coordinates to each vertex.
    Square: side length is 4.

    Maths-General
    General
    Maths-

    Place the figure in a coordinate plane in a convenient way. Assign coordinates to each vertex. Isosceles right triangle: leg length is 5 units.

    Place the figure in a coordinate plane in a convenient way. Assign coordinates to each vertex. Isosceles right triangle: leg length is 5 units.

    Maths-General
    parallel
    General
    Maths-

    Place the figure in a coordinate plane in a convenient way.
    Assign coordinates to each vertex. Right triangle: leg lengths are 3 units and 4 units.

    Place the figure in a coordinate plane in a convenient way.
    Assign coordinates to each vertex. Right triangle: leg lengths are 3 units and 4 units.

    Maths-General
    General
    Maths-

    Salim wants to purchase tickets from a vendor to watch a tennis match. The vendor charges a one-time service fee for processing the purchase of the tickets. The equation  T = 15n +2 represents the total amount T , in dollars, Salim will pay for  tickets. What does 12 represent in the equation?

    Salim wants to purchase tickets from a vendor to watch a tennis match. The vendor charges a one-time service fee for processing the purchase of the tickets. The equation  T = 15n +2 represents the total amount T , in dollars, Salim will pay for  tickets. What does 12 represent in the equation?

    Maths-General
    General
    Maths-

    In △ PQR, DE is the midsegment.
    Find the value of x and the length of side PQ.

    In △ PQR, DE is the midsegment.
    Find the value of x and the length of side PQ.

    Maths-General
    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.