1a. write an inequality with the solution x < 12. the inequality should have the variable on both sides, a decimal coefficient of the variable on the left side, and a decimal anywhere on the right side. one of the decimals should be written in tenths, the other in hundredths.

1b. write an inequality with the solution x ≥ 4. the inequality should have the variable on both sides, a fractional coefficient of the variable on the left side, and a fraction anywhere on the right side.

1a. 1.08x + 0.1 < 1.1 + x is equivalent to x < 12

1b. x/4 + ¼ ≥ 5/4 + x is equivalent to x ≥ 4

Step-by-step explanation:

1a.

Required:

Write an inequality with the solution x < 12

Note that the inequality should have the variable on both sides

Follow the highlighted steps;

Step 1: Write out the inequality

x < 12

Step 2: Divide both sides by 12

x/12 < 12/12

x/12 < 1

(To make a decimal coefficient of the variable on the left side)

Step 3: Convert fraction to decimal

0.08x < 1

To have one of the decimals should be written in tenths and the other in hundredths, perform step 4 and 5

Step 4: Add x to both sides

x + 0.08x < 1 + x

1.08x < 1 + x

Step 5: Add 0.1 to both sides

1.08x + 0.1 < 1 + x + 0.1

1.08x + 0.1 < 1.1 + x

Hence, equivalence of x < 12 is 1.08x + 0.1 < 1.1 + x

1b. Required:

Write an inequality with the solution x ≥ 4

Note that the inequality should have the variable on both sides

Follow the highlighted steps;

Step 1: Divide both side by 4

x/4 ≥ 4/4

x/4 ≥ 1 -- now, we have a fraction coefficient on the left hand side

To get a variable on the right side, do step 2

Step 2: add x to both sides

x/4 + x ≥ 1 + x

To get a fraction anywhere on the right side, do step 3

Step 3: Add ¼ to both sides

¼x + x + ¼ ≥ ¼ + 1 + x

¼x + x + ¼ ≥ 5/4 + x

5x/4 + ¼ ≥ 5/4 + x

Hence, equivalence of x ≥ 4 is 5x/4 + ¼ ≥ 5/4 + x

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

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step-by-step explanation: