Solve 3x + 4 < 19.
Show your solution on the number line.
Worked Solution & Example Answer:Solve 3x + 4 < 19 - OCR - GCSE Maths - Question 2 - 2020 - Paper 6
Step 1
Solve the inequality 3x + 4 < 19
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Answer
To solve the inequality, we start by isolating the term with x.
Subtract 4 from both sides: 3x+4−4<19−4
which simplifies to: 3x<15
Next, divide both sides by 3: x<5
Step 2
Show the solution on the number line
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Answer
On the number line, we represent the solution x<5 by placing an open circle at 5 (indicating that 5 is not included) and shading to the left to show all values less than 5:
<---o=================>
1 2 3 4 5 6 7 x
In this diagram, the shaded region extends from negative infinity up to, but not including, 5.
