Equations and Inequalities with literal

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≥' represent?

Back

'≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

What does the symbol '≤' represent?

Back

'≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.

Front

How do you solve the inequality -6a ≥ -36?

Back

To solve -6a ≥ -36, divide both sides by -6, remembering to reverse the inequality sign: a ≤ 6.

Front

What is the solution set for the inequality -2x + 5 < x - 7?

Back

The solution set is x > 4.

Front

Write the inequality for 'the sum of 3 times a number and 7 is at most 38.'

Back

The inequality is 3x + 7 ≤ 38.

Front

How do you isolate 'w' in the equation 2w + 2b = P?

Back

To isolate w, rearrange the equation: w = (P - 2b) / 2.

Front

What is the equation for 'six less than twice a number is the same as the sum of four times the number and 8'?

Back

The equation is 2x - 6 = 4x + 8.

Front

How do you solve the equation 2x - 6 = 4x + 8?

Back

Rearranging gives: -6 - 8 = 4x - 2x, leading to x = -7.

Front

What is the first step in solving the inequality 3x + 7 < 38?

Back

Subtract 7 from both sides: 3x < 31.