What is the main difference in the procedure for solving an inequality compared to an equation when multiplying or dividing by a negative number?

Solve the inequality 4x+1>5.

Solve the inequality 3−4x≥3 and represent the solution on a number line.

Solve the inequality −2x−5>1 and write down the largest integer value that the unknown can take.

Rs 100 is sufficient to buy 3 mangoes at Rs 20 each and 2 mandarins at Rs y each. Construct an inequality in terms of y and solve it to find the maximum possible price of a mandarin.

Describe the region on a Cartesian plane represented by the inequality x≤3.

Describe the region on a Cartesian plane represented by the inequality y>−1.

Which of the following points belong to the region defined by x≤−2 and y>0? A=(-3, 0), B=(-2, 1), C=(-1, 4).

In a Cartesian plane, shade the region that satisfies all four inequalities: x>1, x≤3, y≤2, and y>−1.

Describe the region on a Cartesian plane represented by the inequality y>x.

Describe the region on a Cartesian plane represented by the inequality y≤x.

Write down the coordinates of three points that satisfy the inequality y≥x.

In a Cartesian plane, shade the region common to both x≥0 and y>x.

A 1 kg weight is placed in one pan of a balance scale. A 500g weight and three identical cakes of soap, each of mass p grams, are placed on the other pan, which is observed to be higher. Construct an inequality in terms of p and find the maximum possible integer mass of one cake of soap.

Write down the set of three inequalities that define the unshaded triangular region in a Cartesian plane bounded by the lines y=x, x=3, and the x-axis (y=0).