Question

Question 4 4.1 Step 1 Solve the following inequality by following the given steps: -3(2x - 3) ≥x-5 Step 3 Use the distributive property to get rid of any brackets. Step 2 Write all the variable terms on the left and the constants on the right using addition or subtraction until you have single terms on each side of the inequality sign. Eliminate the coefficient using multiplication or division. Step 4 Determine whether the solution is true for a substitution of x = -1. (5)​

Answer 1

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Answer 2

Explanation:

`-3(2x-3)\ge x-5`

`-6x+9\ge x-5` (distributive property)

`-7x+9\ge -5` (subtract
`x` from both sides)

`-7x\ge -14` (subtract 9 from both sides)

`x\le 2` (divide both sides by -7, remember to change
`\ge` to
`\le`

when dividing by a negative number)

When
`x=-1`,
`x\le 2`. So solution is true for
`x=-1`.