Question

Drag each number to show whether or not it is a solution to the inequality.

Inequality: 42x - 12 ≤ 24

( 10, 9 , -5, 12.5 , 0 )

Solution to the inequality
42x - 12 ≤ 24

NOT a solution to the inequality 42x - 12 ≤ 24​

Answer 1

Explanation:

A linear inequality is given to us and we need to drag each number to show whether or not it is a

solution to the inequality .The given inequality to us is ,

`\bf\implies 4x - 12 \leq 24 \\\\\bf\implies 4x \leq 24+12 \\\\\bf\implies 4x \leq 36 \\\\\bf\implies x \leq (36)/(4)\\\\\bf\implies x\leq 9\\\\\bf\implies \boxed{\red{\bf x \in [9,-\infty ) }}`

Hence , x can have all values less than or equal to 9. That is x E [ 9 , -∞ ) .

Options provided to us are ,

• 10
• 6
• 9
• (-5)
• 12.5
• 0

Hence values less than or equal to 9 are 9 , 6 , (-5) and 0 .