Which is a correct first step in solving the inequality –4(2x – 1) > 5 – 3x? distribute –4 to get –8x + 4 > 5 – 3x. distribute –4 to get –8x – 1 > 5 – 3x. subtract 2x from both sides of the inequality. add 1 to both sides of the inequality.

Hence, the correct step in solving the inequality:

                is:

We are given a inequality in terms of variable x as:

We know that while solving a inequality we must follow the following steps:

Firstly we must solve the parentheses term.

secondly we must combine the like terms and simplify them

Then we must solve for the variable x.

Here also we must firstly solve the parentheses term as follows:

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing

step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: