Question

Express the following statement as an inequality. Then solve the inequality and in two or more sentences explain each step in solving the inequality. The product of 2 and the difference of 5x and 6 is less than or equal to the sum of x and 24.

Answer 1

x ≤ 4

Step-by-step explanation:

The product of 2 and the difference of 5x and 6 is less than or equal to the sum of x and 24 as an inequality would be:

2(5x-6)≤x+24

2(5x-6)≤x+24 -------------------------------------------------> x ≤ 4

the answer to the inequality

Answer 2

2(5x-6) ≤ x+24
First you expand the brackets on the left side by multiplying each of the things inside by the one outside:
10x-12 ≤ x+24
Now you group like terms by adding -x and 12 to each side:
9x ≤ 36
Now you divide both sides by 9 to get:
x≤4

Hope this helps :)